-3x+4-(-x+1)=5x-9

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Solution for -3x+4-(-x+1)=5x-9 equation:


Simplifying
-3x + 4 + -1(-1x + 1) = 5x + -9

Reorder the terms:
-3x + 4 + -1(1 + -1x) = 5x + -9
-3x + 4 + (1 * -1 + -1x * -1) = 5x + -9
-3x + 4 + (-1 + 1x) = 5x + -9

Reorder the terms:
4 + -1 + -3x + 1x = 5x + -9

Combine like terms: 4 + -1 = 3
3 + -3x + 1x = 5x + -9

Combine like terms: -3x + 1x = -2x
3 + -2x = 5x + -9

Reorder the terms:
3 + -2x = -9 + 5x

Solving
3 + -2x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + -2x + -5x = -9 + 5x + -5x

Combine like terms: -2x + -5x = -7x
3 + -7x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -7x = -9 + 0
3 + -7x = -9

Add '-3' to each side of the equation.
3 + -3 + -7x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -9 + -3
-7x = -9 + -3

Combine like terms: -9 + -3 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714

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