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

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


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

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

Reorder the terms:
10 + -2x = 5(4 + -3x)
10 + -2x = (4 * 5 + -3x * 5)
10 + -2x = (20 + -15x)

Solving
10 + -2x = 20 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
10 + -2x + 15x = 20 + -15x + 15x

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

Combine like terms: -15x + 15x = 0
10 + 13x = 20 + 0
10 + 13x = 20

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

Combine like terms: 10 + -10 = 0
0 + 13x = 20 + -10
13x = 20 + -10

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

Divide each side by '13'.
x = 0.7692307692

Simplifying
x = 0.7692307692

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