6x+2=5(x-5)+7

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Solution for 6x+2=5(x-5)+7 equation: 


Simplifying
6x + 2 = 5(x + -5) + 7

Reorder the terms:
2 + 6x = 5(x + -5) + 7

Reorder the terms:
2 + 6x = 5(-5 + x) + 7
2 + 6x = (-5 * 5 + x * 5) + 7
2 + 6x = (-25 + 5x) + 7

Reorder the terms:
2 + 6x = -25 + 7 + 5x

Combine like terms: -25 + 7 = -18
2 + 6x = -18 + 5x

Solving
2 + 6x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 6x + -5x = -18 + 5x + -5x

Combine like terms: 6x + -5x = 1x
2 + 1x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 1x = -18 + 0
2 + 1x = -18

Add '-2' to each side of the equation.
2 + -2 + 1x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -18 + -2
1x = -18 + -2

Combine like terms: -18 + -2 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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