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

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


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

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

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

Solving
-18 + 6x = -3 + 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 = -3 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-18 + 2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 2x = -3 + 0
-18 + 2x = -3

Add '18' to each side of the equation.
-18 + 18 + 2x = -3 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -3 + 18
2x = -3 + 18

Combine like terms: -3 + 18 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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