-10+2x+3(5-x)=2x-4

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Solution for -10+2x+3(5-x)=2x-4 equation:


Simplifying
-10 + 2x + 3(5 + -1x) = 2x + -4
-10 + 2x + (5 * 3 + -1x * 3) = 2x + -4
-10 + 2x + (15 + -3x) = 2x + -4

Reorder the terms:
-10 + 15 + 2x + -3x = 2x + -4

Combine like terms: -10 + 15 = 5
5 + 2x + -3x = 2x + -4

Combine like terms: 2x + -3x = -1x
5 + -1x = 2x + -4

Reorder the terms:
5 + -1x = -4 + 2x

Solving
5 + -1x = -4 + 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.
5 + -1x + -2x = -4 + 2x + -2x

Combine like terms: -1x + -2x = -3x
5 + -3x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -3x = -4 + 0
5 + -3x = -4

Add '-5' to each side of the equation.
5 + -5 + -3x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -4 + -5
-3x = -4 + -5

Combine like terms: -4 + -5 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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