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

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


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

Remove parenthesis around (-1x)
2x + 3 * -1x + -5 = 2x + 10

Multiply 3 * -1
2x + -3x + -5 = 2x + 10

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

Combine like terms: 2x + -3x = -1x
-5 + -1x = 2x + 10

Reorder the terms:
-5 + -1x = 10 + 2x

Solving
-5 + -1x = 10 + 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 = 10 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-5 + -3x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + -3x = 10 + 0
-5 + -3x = 10

Add '5' to each side of the equation.
-5 + 5 + -3x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 10 + 5
-3x = 10 + 5

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

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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