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

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


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

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

Reorder the terms:
2 + 7x = 6(-6 + x) + 7
2 + 7x = (-6 * 6 + x * 6) + 7
2 + 7x = (-36 + 6x) + 7

Reorder the terms:
2 + 7x = -36 + 7 + 6x

Combine like terms: -36 + 7 = -29
2 + 7x = -29 + 6x

Solving
2 + 7x = -29 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 7x + -6x = -29 + 6x + -6x

Combine like terms: 7x + -6x = 1x
2 + 1x = -29 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 1x = -29 + 0
2 + 1x = -29

Add '-2' to each side of the equation.
2 + -2 + 1x = -29 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -29 + -2
1x = -29 + -2

Combine like terms: -29 + -2 = -31
1x = -31

Divide each side by '1'.
x = -31

Simplifying
x = -31

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