8(13-x)-(x-12)=x-3(x-9)+5

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Solution for 8(13-x)-(x-12)=x-3(x-9)+5 equation:


Simplifying
8(13 + -1x) + -1(x + -12) = x + -3(x + -9) + 5
(13 * 8 + -1x * 8) + -1(x + -12) = x + -3(x + -9) + 5
(104 + -8x) + -1(x + -12) = x + -3(x + -9) + 5

Reorder the terms:
104 + -8x + -1(-12 + x) = x + -3(x + -9) + 5
104 + -8x + (-12 * -1 + x * -1) = x + -3(x + -9) + 5
104 + -8x + (12 + -1x) = x + -3(x + -9) + 5

Reorder the terms:
104 + 12 + -8x + -1x = x + -3(x + -9) + 5

Combine like terms: 104 + 12 = 116
116 + -8x + -1x = x + -3(x + -9) + 5

Combine like terms: -8x + -1x = -9x
116 + -9x = x + -3(x + -9) + 5

Reorder the terms:
116 + -9x = x + -3(-9 + x) + 5
116 + -9x = x + (-9 * -3 + x * -3) + 5
116 + -9x = x + (27 + -3x) + 5

Reorder the terms:
116 + -9x = 27 + 5 + x + -3x

Combine like terms: 27 + 5 = 32
116 + -9x = 32 + x + -3x

Combine like terms: x + -3x = -2x
116 + -9x = 32 + -2x

Solving
116 + -9x = 32 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
116 + -9x + 2x = 32 + -2x + 2x

Combine like terms: -9x + 2x = -7x
116 + -7x = 32 + -2x + 2x

Combine like terms: -2x + 2x = 0
116 + -7x = 32 + 0
116 + -7x = 32

Add '-116' to each side of the equation.
116 + -116 + -7x = 32 + -116

Combine like terms: 116 + -116 = 0
0 + -7x = 32 + -116
-7x = 32 + -116

Combine like terms: 32 + -116 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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