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

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


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

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

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

Reorder the terms:
-10 + -3x = -3(-2 + 5x)
-10 + -3x = (-2 * -3 + 5x * -3)
-10 + -3x = (6 + -15x)

Solving
-10 + -3x = 6 + -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 + -3x + 15x = 6 + -15x + 15x

Combine like terms: -3x + 15x = 12x
-10 + 12x = 6 + -15x + 15x

Combine like terms: -15x + 15x = 0
-10 + 12x = 6 + 0
-10 + 12x = 6

Add '10' to each side of the equation.
-10 + 10 + 12x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 12x = 6 + 10
12x = 6 + 10

Combine like terms: 6 + 10 = 16
12x = 16

Divide each side by '12'.
x = 1.333333333

Simplifying
x = 1.333333333

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