3x+10-x=8+3x-5

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Solution for 3x+10-x=8+3x-5 equation:


Simplifying
3x + 10 + -1x = 8 + 3x + -5

Reorder the terms:
10 + 3x + -1x = 8 + 3x + -5

Combine like terms: 3x + -1x = 2x
10 + 2x = 8 + 3x + -5

Reorder the terms:
10 + 2x = 8 + -5 + 3x

Combine like terms: 8 + -5 = 3
10 + 2x = 3 + 3x

Solving
10 + 2x = 3 + 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.
10 + 2x + -3x = 3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
10 + -1x = 3 + 0
10 + -1x = 3

Add '-10' to each side of the equation.
10 + -10 + -1x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 3 + -10
-1x = 3 + -10

Combine like terms: 3 + -10 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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