34-2x=-4(5+7x)+2

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Solution for 34-2x=-4(5+7x)+2 equation: 


Simplifying
34 + -2x = -4(5 + 7x) + 2
34 + -2x = (5 * -4 + 7x * -4) + 2
34 + -2x = (-20 + -28x) + 2

Reorder the terms:
34 + -2x = -20 + 2 + -28x

Combine like terms: -20 + 2 = -18
34 + -2x = -18 + -28x

Solving
34 + -2x = -18 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
34 + -2x + 28x = -18 + -28x + 28x

Combine like terms: -2x + 28x = 26x
34 + 26x = -18 + -28x + 28x

Combine like terms: -28x + 28x = 0
34 + 26x = -18 + 0
34 + 26x = -18

Add '-34' to each side of the equation.
34 + -34 + 26x = -18 + -34

Combine like terms: 34 + -34 = 0
0 + 26x = -18 + -34
26x = -18 + -34

Combine like terms: -18 + -34 = -52
26x = -52

Divide each side by '26'.
x = -2

Simplifying
x = -2

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