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

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


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

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

Reorder the terms:
18 + -6x = 4(-3 + x)
18 + -6x = (-3 * 4 + x * 4)
18 + -6x = (-12 + 4x)

Solving
18 + -6x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + -6x + -4x = -12 + 4x + -4x

Combine like terms: -6x + -4x = -10x
18 + -10x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -10x = -12 + 0
18 + -10x = -12

Add '-18' to each side of the equation.
18 + -18 + -10x = -12 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = -12 + -18
-10x = -12 + -18

Combine like terms: -12 + -18 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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