4(x+8)=3(x-9)+8

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Solution for 4(x+8)=3(x-9)+8 equation: 


Simplifying
4(x + 8) = 3(x + -9) + 8

Reorder the terms:
4(8 + x) = 3(x + -9) + 8
(8 * 4 + x * 4) = 3(x + -9) + 8
(32 + 4x) = 3(x + -9) + 8

Reorder the terms:
32 + 4x = 3(-9 + x) + 8
32 + 4x = (-9 * 3 + x * 3) + 8
32 + 4x = (-27 + 3x) + 8

Reorder the terms:
32 + 4x = -27 + 8 + 3x

Combine like terms: -27 + 8 = -19
32 + 4x = -19 + 3x

Solving
32 + 4x = -19 + 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 + 4x + -3x = -19 + 3x + -3x

Combine like terms: 4x + -3x = 1x
32 + 1x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + 1x = -19 + 0
32 + 1x = -19

Add '-32' to each side of the equation.
32 + -32 + 1x = -19 + -32

Combine like terms: 32 + -32 = 0
0 + 1x = -19 + -32
1x = -19 + -32

Combine like terms: -19 + -32 = -51
1x = -51

Divide each side by '1'.
x = -51

Simplifying
x = -51

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