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 = 2x
-18 + 2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 2x = -12 + 0
-18 + 2x = -12

Add '18' to each side of the equation.
-18 + 18 + 2x = -12 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -12 + 18
2x = -12 + 18

Combine like terms: -12 + 18 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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