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

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


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

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

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

Combine like terms: -6 + -4 = -10
-10 + 2x = -3(-5x + 6) + -3x

Reorder the terms:
-10 + 2x = -3(6 + -5x) + -3x
-10 + 2x = (6 * -3 + -5x * -3) + -3x
-10 + 2x = (-18 + 15x) + -3x

Combine like terms: 15x + -3x = 12x
-10 + 2x = -18 + 12x

Solving
-10 + 2x = -18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-10 + 2x + -12x = -18 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-10 + -10x = -18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + -10x = -18 + 0
-10 + -10x = -18

Add '10' to each side of the equation.
-10 + 10 + -10x = -18 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = -18 + 10
-10x = -18 + 10

Combine like terms: -18 + 10 = -8
-10x = -8

Divide each side by '-10'.
x = 0.8

Simplifying
x = 0.8

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