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

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


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

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

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

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

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

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

Combine like terms: 7x + 5x = 12x
7 + -1x = -5 + 12x

Solving
7 + -1x = -5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
7 + -1x + -12x = -5 + 12x + -12x

Combine like terms: -1x + -12x = -13x
7 + -13x = -5 + 12x + -12x

Combine like terms: 12x + -12x = 0
7 + -13x = -5 + 0
7 + -13x = -5

Add '-7' to each side of the equation.
7 + -7 + -13x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -13x = -5 + -7
-13x = -5 + -7

Combine like terms: -5 + -7 = -12
-13x = -12

Divide each side by '-13'.
x = 0.9230769231

Simplifying
x = 0.9230769231

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