-2(x-5)+10=3(x+2)

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Solution for -2(x-5)+10=3(x+2) equation: 


Simplifying
-2(x + -5) + 10 = 3(x + 2)

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

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

Combine like terms: 10 + 10 = 20
20 + -2x = 3(x + 2)

Reorder the terms:
20 + -2x = 3(2 + x)
20 + -2x = (2 * 3 + x * 3)
20 + -2x = (6 + 3x)

Solving
20 + -2x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
20 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -5x = 6 + 0
20 + -5x = 6

Add '-20' to each side of the equation.
20 + -20 + -5x = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = 6 + -20
-5x = 6 + -20

Combine like terms: 6 + -20 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8

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