3x+4-x=8+3x-7

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Solution for 3x+4-x=8+3x-7 equation:


Simplifying
3x + 4 + -1x = 8 + 3x + -7

Reorder the terms:
4 + 3x + -1x = 8 + 3x + -7

Combine like terms: 3x + -1x = 2x
4 + 2x = 8 + 3x + -7

Reorder the terms:
4 + 2x = 8 + -7 + 3x

Combine like terms: 8 + -7 = 1
4 + 2x = 1 + 3x

Solving
4 + 2x = 1 + 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.
4 + 2x + -3x = 1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + -1x = 1 + 0
4 + -1x = 1

Add '-4' to each side of the equation.
4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 1 + -4
-1x = 1 + -4

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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