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

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


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

Reorder the terms:
-3(-6 + x) = 10x + 7
(-6 * -3 + x * -3) = 10x + 7
(18 + -3x) = 10x + 7

Reorder the terms:
18 + -3x = 7 + 10x

Solving
18 + -3x = 7 + 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.
18 + -3x + -10x = 7 + 10x + -10x

Combine like terms: -3x + -10x = -13x
18 + -13x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -13x = 7 + 0
18 + -13x = 7

Add '-18' to each side of the equation.
18 + -18 + -13x = 7 + -18

Combine like terms: 18 + -18 = 0
0 + -13x = 7 + -18
-13x = 7 + -18

Combine like terms: 7 + -18 = -11
-13x = -11

Divide each side by '-13'.
x = 0.8461538462

Simplifying
x = 0.8461538462

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