# 7(x+5)=3x+12

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## Solution for 7(x+5)=3x+12 equation:

Simplifying
7(x + 5) = 3x + 12

Reorder the terms:
7(5 + x) = 3x + 12
(5 * 7 + x * 7) = 3x + 12
(35 + 7x) = 3x + 12

Reorder the terms:
35 + 7x = 12 + 3x

Solving
35 + 7x = 12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
35 + 7x + -3x = 12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
35 + 4x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
35 + 4x = 12 + 0
35 + 4x = 12

Add '-35' to each side of the equation.
35 + -35 + 4x = 12 + -35

Combine like terms: 35 + -35 = 0
0 + 4x = 12 + -35
4x = 12 + -35

Combine like terms: 12 + -35 = -23
4x = -23

Divide each side by '4'.
x = -5.75

Simplifying
x = -5.75`