7x+2-5x+1=8x+3-x+4

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Solution for 7x+2-5x+1=8x+3-x+4 equation:


Simplifying
7x + 2 + -5x + 1 = 8x + 3 + -1x + 4

Reorder the terms:
2 + 1 + 7x + -5x = 8x + 3 + -1x + 4

Combine like terms: 2 + 1 = 3
3 + 7x + -5x = 8x + 3 + -1x + 4

Combine like terms: 7x + -5x = 2x
3 + 2x = 8x + 3 + -1x + 4

Reorder the terms:
3 + 2x = 3 + 4 + 8x + -1x

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

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

Solving
3 + 2x = 7 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
3 + 2x + -7x = 7 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
3 + -5x = 7 + 0
3 + -5x = 7

Add '-3' to each side of the equation.
3 + -3 + -5x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 7 + -3
-5x = 7 + -3

Combine like terms: 7 + -3 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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