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

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


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

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

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

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

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

Solving
3 + -1x = -1 + 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 + -1x + -7x = -1 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
3 + -8x = -1 + 0
3 + -8x = -1

Add '-3' to each side of the equation.
3 + -3 + -8x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -1 + -3
-8x = -1 + -3

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

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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