-2(x-3)=3(x+1)+10

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Solution for -2(x-3)=3(x+1)+10 equation: 


Simplifying
-2(x + -3) = 3(x + 1) + 10

Reorder the terms:
-2(-3 + x) = 3(x + 1) + 10
(-3 * -2 + x * -2) = 3(x + 1) + 10
(6 + -2x) = 3(x + 1) + 10

Reorder the terms:
6 + -2x = 3(1 + x) + 10
6 + -2x = (1 * 3 + x * 3) + 10
6 + -2x = (3 + 3x) + 10

Reorder the terms:
6 + -2x = 3 + 10 + 3x

Combine like terms: 3 + 10 = 13
6 + -2x = 13 + 3x

Solving
6 + -2x = 13 + 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.
6 + -2x + -3x = 13 + 3x + -3x

Combine like terms: -2x + -3x = -5x
6 + -5x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -5x = 13 + 0
6 + -5x = 13

Add '-6' to each side of the equation.
6 + -6 + -5x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 13 + -6
-5x = 13 + -6

Combine like terms: 13 + -6 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

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