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

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


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

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

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

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

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

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

Combine like terms: 8 + 2 = 10
8 + -3x = 10 + -4x + -3x

Combine like terms: -4x + -3x = -7x
8 + -3x = 10 + -7x

Solving
8 + -3x = 10 + -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.
8 + -3x + 7x = 10 + -7x + 7x

Combine like terms: -3x + 7x = 4x
8 + 4x = 10 + -7x + 7x

Combine like terms: -7x + 7x = 0
8 + 4x = 10 + 0
8 + 4x = 10

Add '-8' to each side of the equation.
8 + -8 + 4x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 10 + -8
4x = 10 + -8

Combine like terms: 10 + -8 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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