5(x+3)-x=-(4x-6)+1

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Solution for 5(x+3)-x=-(4x-6)+1 equation: 


Simplifying
5(x + 3) + -1x = -1(4x + -6) + 1

Reorder the terms:
5(3 + x) + -1x = -1(4x + -6) + 1
(3 * 5 + x * 5) + -1x = -1(4x + -6) + 1
(15 + 5x) + -1x = -1(4x + -6) + 1

Combine like terms: 5x + -1x = 4x
15 + 4x = -1(4x + -6) + 1

Reorder the terms:
15 + 4x = -1(-6 + 4x) + 1
15 + 4x = (-6 * -1 + 4x * -1) + 1
15 + 4x = (6 + -4x) + 1

Reorder the terms:
15 + 4x = 6 + 1 + -4x

Combine like terms: 6 + 1 = 7
15 + 4x = 7 + -4x

Solving
15 + 4x = 7 + -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.
15 + 4x + 4x = 7 + -4x + 4x

Combine like terms: 4x + 4x = 8x
15 + 8x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + 8x = 7 + 0
15 + 8x = 7

Add '-15' to each side of the equation.
15 + -15 + 8x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 7 + -15
8x = 7 + -15

Combine like terms: 7 + -15 = -8
8x = -8

Divide each side by '8'.
x = -1

Simplifying
x = -1

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