-3(x-6)=10x+15

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Solution for -3(x-6)=10x+15 equation:


Simplifying
-3(x + -6) = 10x + 15

Reorder the terms:
-3(-6 + x) = 10x + 15
(-6 * -3 + x * -3) = 10x + 15
(18 + -3x) = 10x + 15

Reorder the terms:
18 + -3x = 15 + 10x

Solving
18 + -3x = 15 + 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 = 15 + 10x + -10x

Combine like terms: -3x + -10x = -13x
18 + -13x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -13x = 15 + 0
18 + -13x = 15

Add '-18' to each side of the equation.
18 + -18 + -13x = 15 + -18

Combine like terms: 18 + -18 = 0
0 + -13x = 15 + -18
-13x = 15 + -18

Combine like terms: 15 + -18 = -3
-13x = -3

Divide each side by '-13'.
x = 0.2307692308

Simplifying
x = 0.2307692308

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