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

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


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

Reorder the terms:
4(8 + x) + x = 3(x + 3) + 7
(8 * 4 + x * 4) + x = 3(x + 3) + 7
(32 + 4x) + x = 3(x + 3) + 7

Combine like terms: 4x + x = 5x
32 + 5x = 3(x + 3) + 7

Reorder the terms:
32 + 5x = 3(3 + x) + 7
32 + 5x = (3 * 3 + x * 3) + 7
32 + 5x = (9 + 3x) + 7

Reorder the terms:
32 + 5x = 9 + 7 + 3x

Combine like terms: 9 + 7 = 16
32 + 5x = 16 + 3x

Solving
32 + 5x = 16 + 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.
32 + 5x + -3x = 16 + 3x + -3x

Combine like terms: 5x + -3x = 2x
32 + 2x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + 2x = 16 + 0
32 + 2x = 16

Add '-32' to each side of the equation.
32 + -32 + 2x = 16 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = 16 + -32
2x = 16 + -32

Combine like terms: 16 + -32 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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