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

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


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

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

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

Combine like terms: -6 + -3 = -9
-9 + 2x = -4(-5x + 3) + -3x

Reorder the terms:
-9 + 2x = -4(3 + -5x) + -3x
-9 + 2x = (3 * -4 + -5x * -4) + -3x
-9 + 2x = (-12 + 20x) + -3x

Combine like terms: 20x + -3x = 17x
-9 + 2x = -12 + 17x

Solving
-9 + 2x = -12 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-9 + 2x + -17x = -12 + 17x + -17x

Combine like terms: 2x + -17x = -15x
-9 + -15x = -12 + 17x + -17x

Combine like terms: 17x + -17x = 0
-9 + -15x = -12 + 0
-9 + -15x = -12

Add '9' to each side of the equation.
-9 + 9 + -15x = -12 + 9

Combine like terms: -9 + 9 = 0
0 + -15x = -12 + 9
-15x = -12 + 9

Combine like terms: -12 + 9 = -3
-15x = -3

Divide each side by '-15'.
x = 0.2

Simplifying
x = 0.2

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