-2(6x-7)=-3-10(x-9)

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Solution for -2(6x-7)=-3-10(x-9) equation:


Simplifying
-2(6x + -7) = -3 + -10(x + -9)

Reorder the terms:
-2(-7 + 6x) = -3 + -10(x + -9)
(-7 * -2 + 6x * -2) = -3 + -10(x + -9)
(14 + -12x) = -3 + -10(x + -9)

Reorder the terms:
14 + -12x = -3 + -10(-9 + x)
14 + -12x = -3 + (-9 * -10 + x * -10)
14 + -12x = -3 + (90 + -10x)

Combine like terms: -3 + 90 = 87
14 + -12x = 87 + -10x

Solving
14 + -12x = 87 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
14 + -12x + 10x = 87 + -10x + 10x

Combine like terms: -12x + 10x = -2x
14 + -2x = 87 + -10x + 10x

Combine like terms: -10x + 10x = 0
14 + -2x = 87 + 0
14 + -2x = 87

Add '-14' to each side of the equation.
14 + -14 + -2x = 87 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 87 + -14
-2x = 87 + -14

Combine like terms: 87 + -14 = 73
-2x = 73

Divide each side by '-2'.
x = -36.5

Simplifying
x = -36.5

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