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

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


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

Reorder the terms:
-5(-4 + 3x) + 2x = 2(x + -5)
(-4 * -5 + 3x * -5) + 2x = 2(x + -5)
(20 + -15x) + 2x = 2(x + -5)

Combine like terms: -15x + 2x = -13x
20 + -13x = 2(x + -5)

Reorder the terms:
20 + -13x = 2(-5 + x)
20 + -13x = (-5 * 2 + x * 2)
20 + -13x = (-10 + 2x)

Solving
20 + -13x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + -13x + -2x = -10 + 2x + -2x

Combine like terms: -13x + -2x = -15x
20 + -15x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -15x = -10 + 0
20 + -15x = -10

Add '-20' to each side of the equation.
20 + -20 + -15x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -15x = -10 + -20
-15x = -10 + -20

Combine like terms: -10 + -20 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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