4(x+7)+x=3(x+2)-8

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Solution for 4(x+7)+x=3(x+2)-8 equation: 


Simplifying
4(x + 7) + x = 3(x + 2) + -8

Reorder the terms:
4(7 + x) + x = 3(x + 2) + -8
(7 * 4 + x * 4) + x = 3(x + 2) + -8
(28 + 4x) + x = 3(x + 2) + -8

Combine like terms: 4x + x = 5x
28 + 5x = 3(x + 2) + -8

Reorder the terms:
28 + 5x = 3(2 + x) + -8
28 + 5x = (2 * 3 + x * 3) + -8
28 + 5x = (6 + 3x) + -8

Reorder the terms:
28 + 5x = 6 + -8 + 3x

Combine like terms: 6 + -8 = -2
28 + 5x = -2 + 3x

Solving
28 + 5x = -2 + 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.
28 + 5x + -3x = -2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
28 + 2x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + 2x = -2 + 0
28 + 2x = -2

Add '-28' to each side of the equation.
28 + -28 + 2x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = -2 + -28
2x = -2 + -28

Combine like terms: -2 + -28 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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