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

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


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

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

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

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

Combine like terms: 3 + -10 = -7
5 + -2x = -7 + 2x

Solving
5 + -2x = -7 + 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 + -2x + -2x = -7 + 2x + -2x

Combine like terms: -2x + -2x = -4x
5 + -4x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -4x = -7 + 0
5 + -4x = -7

Add '-5' to each side of the equation.
5 + -5 + -4x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -7 + -5
-4x = -7 + -5

Combine like terms: -7 + -5 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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