2(x-5)-5=-2(-9x+3)-4x

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Solution for 2(x-5)-5=-2(-9x+3)-4x equation:


Simplifying
2(x + -5) + -5 = -2(-9x + 3) + -4x

Reorder the terms:
2(-5 + x) + -5 = -2(-9x + 3) + -4x
(-5 * 2 + x * 2) + -5 = -2(-9x + 3) + -4x
(-10 + 2x) + -5 = -2(-9x + 3) + -4x

Reorder the terms:
-10 + -5 + 2x = -2(-9x + 3) + -4x

Combine like terms: -10 + -5 = -15
-15 + 2x = -2(-9x + 3) + -4x

Reorder the terms:
-15 + 2x = -2(3 + -9x) + -4x
-15 + 2x = (3 * -2 + -9x * -2) + -4x
-15 + 2x = (-6 + 18x) + -4x

Combine like terms: 18x + -4x = 14x
-15 + 2x = -6 + 14x

Solving
-15 + 2x = -6 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-15 + 2x + -14x = -6 + 14x + -14x

Combine like terms: 2x + -14x = -12x
-15 + -12x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
-15 + -12x = -6 + 0
-15 + -12x = -6

Add '15' to each side of the equation.
-15 + 15 + -12x = -6 + 15

Combine like terms: -15 + 15 = 0
0 + -12x = -6 + 15
-12x = -6 + 15

Combine like terms: -6 + 15 = 9
-12x = 9

Divide each side by '-12'.
x = -0.75

Simplifying
x = -0.75

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