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

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


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

Reorder the terms:
6(-3 + 2x) = 4x + -2 + 5x + -4
(-3 * 6 + 2x * 6) = 4x + -2 + 5x + -4
(-18 + 12x) = 4x + -2 + 5x + -4

Reorder the terms:
-18 + 12x = -2 + -4 + 4x + 5x

Combine like terms: -2 + -4 = -6
-18 + 12x = -6 + 4x + 5x

Combine like terms: 4x + 5x = 9x
-18 + 12x = -6 + 9x

Solving
-18 + 12x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-18 + 12x + -9x = -6 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-18 + 3x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + 3x = -6 + 0
-18 + 3x = -6

Add '18' to each side of the equation.
-18 + 18 + 3x = -6 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = -6 + 18
3x = -6 + 18

Combine like terms: -6 + 18 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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