7x+2=6(x-3)+8

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Solution for 7x+2=6(x-3)+8 equation: 


Simplifying
7x + 2 = 6(x + -3) + 8

Reorder the terms:
2 + 7x = 6(x + -3) + 8

Reorder the terms:
2 + 7x = 6(-3 + x) + 8
2 + 7x = (-3 * 6 + x * 6) + 8
2 + 7x = (-18 + 6x) + 8

Reorder the terms:
2 + 7x = -18 + 8 + 6x

Combine like terms: -18 + 8 = -10
2 + 7x = -10 + 6x

Solving
2 + 7x = -10 + 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 = -10 + 6x + -6x

Combine like terms: 7x + -6x = 1x
2 + 1x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 1x = -10 + 0
2 + 1x = -10

Add '-2' to each side of the equation.
2 + -2 + 1x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -10 + -2
1x = -10 + -2

Combine like terms: -10 + -2 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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