8(x+4)-2(x-1)=70-3x

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Solution for 8(x+4)-2(x-1)=70-3x equation: 


Simplifying
8(x + 4) + -2(x + -1) = 70 + -3x

Reorder the terms:
8(4 + x) + -2(x + -1) = 70 + -3x
(4 * 8 + x * 8) + -2(x + -1) = 70 + -3x
(32 + 8x) + -2(x + -1) = 70 + -3x

Reorder the terms:
32 + 8x + -2(-1 + x) = 70 + -3x
32 + 8x + (-1 * -2 + x * -2) = 70 + -3x
32 + 8x + (2 + -2x) = 70 + -3x

Reorder the terms:
32 + 2 + 8x + -2x = 70 + -3x

Combine like terms: 32 + 2 = 34
34 + 8x + -2x = 70 + -3x

Combine like terms: 8x + -2x = 6x
34 + 6x = 70 + -3x

Solving
34 + 6x = 70 + -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.
34 + 6x + 3x = 70 + -3x + 3x

Combine like terms: 6x + 3x = 9x
34 + 9x = 70 + -3x + 3x

Combine like terms: -3x + 3x = 0
34 + 9x = 70 + 0
34 + 9x = 70

Add '-34' to each side of the equation.
34 + -34 + 9x = 70 + -34

Combine like terms: 34 + -34 = 0
0 + 9x = 70 + -34
9x = 70 + -34

Combine like terms: 70 + -34 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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