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

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


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

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

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

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

Reorder the terms:
7 + -2x = -3 + -10 + 2x

Combine like terms: -3 + -10 = -13
7 + -2x = -13 + 2x

Solving
7 + -2x = -13 + 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.
7 + -2x + -2x = -13 + 2x + -2x

Combine like terms: -2x + -2x = -4x
7 + -4x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -4x = -13 + 0
7 + -4x = -13

Add '-7' to each side of the equation.
7 + -7 + -4x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -13 + -7
-4x = -13 + -7

Combine like terms: -13 + -7 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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