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

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


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

Reorder the terms:
6(-2 + x) = 4(x + -3)
(-2 * 6 + x * 6) = 4(x + -3)
(-12 + 6x) = 4(x + -3)

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

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

Combine like terms: -12 + 12 = 0
0 + 6x = -12 + 12 + 4x
6x = -12 + 12 + 4x

Combine like terms: -12 + 12 = 0
6x = 0 + 4x
6x = 4x

Solving
6x = 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.
6x + -4x = 4x + -4x

Combine like terms: 6x + -4x = 2x
2x = 4x + -4x

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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