6(2x+10)-3(x-1)=2x+7

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Solution for 6(2x+10)-3(x-1)=2x+7 equation: 


Simplifying
6(2x + 10) + -3(x + -1) = 2x + 7

Reorder the terms:
6(10 + 2x) + -3(x + -1) = 2x + 7
(10 * 6 + 2x * 6) + -3(x + -1) = 2x + 7
(60 + 12x) + -3(x + -1) = 2x + 7

Reorder the terms:
60 + 12x + -3(-1 + x) = 2x + 7
60 + 12x + (-1 * -3 + x * -3) = 2x + 7
60 + 12x + (3 + -3x) = 2x + 7

Reorder the terms:
60 + 3 + 12x + -3x = 2x + 7

Combine like terms: 60 + 3 = 63
63 + 12x + -3x = 2x + 7

Combine like terms: 12x + -3x = 9x
63 + 9x = 2x + 7

Reorder the terms:
63 + 9x = 7 + 2x

Solving
63 + 9x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
63 + 9x + -2x = 7 + 2x + -2x

Combine like terms: 9x + -2x = 7x
63 + 7x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
63 + 7x = 7 + 0
63 + 7x = 7

Add '-63' to each side of the equation.
63 + -63 + 7x = 7 + -63

Combine like terms: 63 + -63 = 0
0 + 7x = 7 + -63
7x = 7 + -63

Combine like terms: 7 + -63 = -56
7x = -56

Divide each side by '7'.
x = -8

Simplifying
x = -8

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