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

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


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

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

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

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

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

Solving
4 + -2x = 1 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + -2x + -1x = 1 + 1x + -1x

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

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 1 + -4

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

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

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

Simplifying
x = 1

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