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

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


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

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

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

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

Reorder the terms:
-10 + 2x = -5(5 + -3x) + -3x
-10 + 2x = (5 * -5 + -3x * -5) + -3x
-10 + 2x = (-25 + 15x) + -3x

Combine like terms: 15x + -3x = 12x
-10 + 2x = -25 + 12x

Solving
-10 + 2x = -25 + 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 = -25 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-10 + -10x = -25 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + -10x = -25 + 0
-10 + -10x = -25

Add '10' to each side of the equation.
-10 + 10 + -10x = -25 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = -25 + 10
-10x = -25 + 10

Combine like terms: -25 + 10 = -15
-10x = -15

Divide each side by '-10'.
x = 1.5

Simplifying
x = 1.5

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