51-6x=-6(2+5x)+2x

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Solution for 51-6x=-6(2+5x)+2x equation:


Simplifying
51 + -6x = -6(2 + 5x) + 2x
51 + -6x = (2 * -6 + 5x * -6) + 2x
51 + -6x = (-12 + -30x) + 2x

Combine like terms: -30x + 2x = -28x
51 + -6x = -12 + -28x

Solving
51 + -6x = -12 + -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.
51 + -6x + 28x = -12 + -28x + 28x

Combine like terms: -6x + 28x = 22x
51 + 22x = -12 + -28x + 28x

Combine like terms: -28x + 28x = 0
51 + 22x = -12 + 0
51 + 22x = -12

Add '-51' to each side of the equation.
51 + -51 + 22x = -12 + -51

Combine like terms: 51 + -51 = 0
0 + 22x = -12 + -51
22x = -12 + -51

Combine like terms: -12 + -51 = -63
22x = -63

Divide each side by '22'.
x = -2.863636364

Simplifying
x = -2.863636364

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