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

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


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

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

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

Reorder the terms:
2 + -3x = -1(-9 + x) + 5x
2 + -3x = (-9 * -1 + x * -1) + 5x
2 + -3x = (9 + -1x) + 5x

Combine like terms: -1x + 5x = 4x
2 + -3x = 9 + 4x

Solving
2 + -3x = 9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + -3x + -4x = 9 + 4x + -4x

Combine like terms: -3x + -4x = -7x
2 + -7x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -7x = 9 + 0
2 + -7x = 9

Add '-2' to each side of the equation.
2 + -2 + -7x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 9 + -2
-7x = 9 + -2

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

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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