Simplifying and Combining Like Terms: Solving an equation using all techniques

$4(\frac{b}{2}+b)-\frac{1}{3}=6b$

$b=\text{?}$

First, we'll open the parentheses by multiplying each term by 4:

$4\times\frac{b}{2}+4\times b-\frac{1}{3}=6b$

Let's solve the multiplication exercise $4\times\frac{b}{2}=\frac{4b}{2}=2b$

Now the equation is:

$2b+4b-\frac{1}{3}=6b$

We'll combine the left side between the two b terms and get:

$6b-\frac{1}{3}=6b$

We'll reduce both sides by 6b and get:

$-\frac{1}{3}=0$

Since the result obtained is impossible, the exercise has no solution.

No solution

$37b+6b+56=90+9$

$b=\text{?}$

1

$4y-7+6y=3-10y$

$y=?$

$\frac{1}{2}$

Find the value of X

$-4x=1+x$

$-\frac{1}{5}$

Solve for x:

$5x=\frac{1}{2}+3x$

$\frac{1}{4}$

Calculate the value of x:

$-7x+3-\frac{1}{2}=0$

$\frac{5}{14}$

$\frac{1}{3}(x+9)=4+\frac{2}{3}x$

$x=\text{?}$

3-

$a^4+7a-5=2a+a^4+3a-(-a)$

$a=?$

$5$

$12y+3y-10+7(y-4)=2y$

$y=?$

$1.9$

Solve for x:

$\frac{1}{8}(x-3)+5x=1$

$\frac{200}{41}$

Solve for x:

$-x+3(x-4)=5-\frac{1}{2}x$

$\frac{34}{5}$

$-\frac{7}{4}(-x)+2x-5(x+3)=-x$

$x=\text{?}$

$-60$

Solve for x:

$-8x+\frac{1}{4}-3=0-8x$

There is no solution.

Solve for x:

$-x+8\cdot\frac{1}{3}x+5=1-x$

$-\frac{3}{2}$

Solve for x:

$-8x+3+\frac{1}{5}=-7x+5(1-x)$

$\frac{9}{20}$

$150+75m+\frac{m}{8}-\frac{m}{3}=(900-\frac{5m}{2})\cdot\frac{1}{12}$

$m=\text{?}$

$-1$

$-\frac{x}{4y}+\frac{4x}{y}+\frac{3x}{4y}-15=20\frac{x}{y}-\frac{x}{2y}$

$\frac{x}{y}=?$

$-1$

$-t+2(4+t)(t+5)=(t-5)(2t-3)$

$t=\text{?}$

$-\frac{5}{6}$

$$$(x+2)(2x-4)=2x^2+x+10$

$-18$

$(x+4)(3x-\frac{1}{4})=3(x^2+5)$

$x=?$

$1\frac{17}{47}$