34-2x=-4(1+7x)+8

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Solution for 34-2x=-4(1+7x)+8 equation:


Simplifying
34 + -2x = -4(1 + 7x) + 8
34 + -2x = (1 * -4 + 7x * -4) + 8
34 + -2x = (-4 + -28x) + 8

Reorder the terms:
34 + -2x = -4 + 8 + -28x

Combine like terms: -4 + 8 = 4
34 + -2x = 4 + -28x

Solving
34 + -2x = 4 + -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 = 4 + -28x + 28x

Combine like terms: -2x + 28x = 26x
34 + 26x = 4 + -28x + 28x

Combine like terms: -28x + 28x = 0
34 + 26x = 4 + 0
34 + 26x = 4

Add '-34' to each side of the equation.
34 + -34 + 26x = 4 + -34

Combine like terms: 34 + -34 = 0
0 + 26x = 4 + -34
26x = 4 + -34

Combine like terms: 4 + -34 = -30
26x = -30

Divide each side by '26'.
x = -1.153846154

Simplifying
x = -1.153846154

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