5x+34=-2(1-7x)

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Solution for 5x+34=-2(1-7x) equation:


Simplifying
5x + 34 = -2(1 + -7x)

Reorder the terms:
34 + 5x = -2(1 + -7x)
34 + 5x = (1 * -2 + -7x * -2)
34 + 5x = (-2 + 14x)

Solving
34 + 5x = -2 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
34 + 5x + -14x = -2 + 14x + -14x

Combine like terms: 5x + -14x = -9x
34 + -9x = -2 + 14x + -14x

Combine like terms: 14x + -14x = 0
34 + -9x = -2 + 0
34 + -9x = -2

Add '-34' to each side of the equation.
34 + -34 + -9x = -2 + -34

Combine like terms: 34 + -34 = 0
0 + -9x = -2 + -34
-9x = -2 + -34

Combine like terms: -2 + -34 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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