8(x-3)=-4(x+1)+34

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Solution for 8(x-3)=-4(x+1)+34 equation: 


Simplifying
8(x + -3) = -4(x + 1) + 34

Reorder the terms:
8(-3 + x) = -4(x + 1) + 34
(-3 * 8 + x * 8) = -4(x + 1) + 34
(-24 + 8x) = -4(x + 1) + 34

Reorder the terms:
-24 + 8x = -4(1 + x) + 34
-24 + 8x = (1 * -4 + x * -4) + 34
-24 + 8x = (-4 + -4x) + 34

Reorder the terms:
-24 + 8x = -4 + 34 + -4x

Combine like terms: -4 + 34 = 30
-24 + 8x = 30 + -4x

Solving
-24 + 8x = 30 + -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.
-24 + 8x + 4x = 30 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-24 + 12x = 30 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 12x = 30 + 0
-24 + 12x = 30

Add '24' to each side of the equation.
-24 + 24 + 12x = 30 + 24

Combine like terms: -24 + 24 = 0
0 + 12x = 30 + 24
12x = 30 + 24

Combine like terms: 30 + 24 = 54
12x = 54

Divide each side by '12'.
x = 4.5

Simplifying
x = 4.5

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