-3(x-6)=2(5x-4)

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Solution for -3(x-6)=2(5x-4) equation:


Simplifying
-3(x + -6) = 2(5x + -4)

Reorder the terms:
-3(-6 + x) = 2(5x + -4)
(-6 * -3 + x * -3) = 2(5x + -4)
(18 + -3x) = 2(5x + -4)

Reorder the terms:
18 + -3x = 2(-4 + 5x)
18 + -3x = (-4 * 2 + 5x * 2)
18 + -3x = (-8 + 10x)

Solving
18 + -3x = -8 + 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 = -8 + 10x + -10x

Combine like terms: -3x + -10x = -13x
18 + -13x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -13x = -8 + 0
18 + -13x = -8

Add '-18' to each side of the equation.
18 + -18 + -13x = -8 + -18

Combine like terms: 18 + -18 = 0
0 + -13x = -8 + -18
-13x = -8 + -18

Combine like terms: -8 + -18 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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