8(x-1)=-4(x+4)+34

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Solution for 8(x-1)=-4(x+4)+34 equation: 


Simplifying
8(x + -1) = -4(x + 4) + 34

Reorder the terms:
8(-1 + x) = -4(x + 4) + 34
(-1 * 8 + x * 8) = -4(x + 4) + 34
(-8 + 8x) = -4(x + 4) + 34

Reorder the terms:
-8 + 8x = -4(4 + x) + 34
-8 + 8x = (4 * -4 + x * -4) + 34
-8 + 8x = (-16 + -4x) + 34

Reorder the terms:
-8 + 8x = -16 + 34 + -4x

Combine like terms: -16 + 34 = 18
-8 + 8x = 18 + -4x

Solving
-8 + 8x = 18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8 + 8x + 4x = 18 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-8 + 12x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 12x = 18 + 0
-8 + 12x = 18

Add '8' to each side of the equation.
-8 + 8 + 12x = 18 + 8

Combine like terms: -8 + 8 = 0
0 + 12x = 18 + 8
12x = 18 + 8

Combine like terms: 18 + 8 = 26
12x = 26

Divide each side by '12'.
x = 2.166666667

Simplifying
x = 2.166666667

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