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

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


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

Reorder the terms:
4(-3 + 2x) + -5x = -6
(-3 * 4 + 2x * 4) + -5x = -6
(-12 + 8x) + -5x = -6

Combine like terms: 8x + -5x = 3x
-12 + 3x = -6

Solving
-12 + 3x = -6

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 3x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -6 + 12
3x = -6 + 12

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

Divide each side by '3'.
x = 2

Simplifying
x = 2

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