Solve (7x+3)×(10+4)=238: Step-by-Step Linear Equation

Question

(7x+3)×(10+4)=238 (7x+3)\times(10+4)=238

Video Solution

Solution Steps

00:00 Find X
00:03 Make sure to open parentheses properly
00:07 Each term in parentheses multiplies each term in the second parentheses
00:25 Solve each multiplication and then sum
00:44 Collect like terms
00:57 Isolate X
01:29 And this is the solution to the question

Step-by-Step Solution

We begin by solving the addition exercise in the right parenthesis:

(7x+3)+14=238 (7x+3)+14=238

We then multiply each of the terms inside of the parentheses by 14:

(14×7x)+(14×3)=238 (14\times7x)+(14\times3)=238

Following this we solve each of the exercises inside of the parentheses:

98x+42=238 98x+42=238

We move the sections whilst retaining the appropriate sign:

98x=23842 98x=238-42

98x=196 98x=196

Finally we divide the two parts by 98:

9898x=19698 \frac{98}{98}x=\frac{196}{98}

x=2 x=2

Answer

2