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

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Solution for 2(x+3)-5=5x-(1+x) equation:


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

Reorder the terms:
2(3 + x) + -5 = 5x + -1(1 + x)
(3 * 2 + x * 2) + -5 = 5x + -1(1 + x)
(6 + 2x) + -5 = 5x + -1(1 + x)

Reorder the terms:
6 + -5 + 2x = 5x + -1(1 + x)

Combine like terms: 6 + -5 = 1
1 + 2x = 5x + -1(1 + x)
1 + 2x = 5x + (1 * -1 + x * -1)
1 + 2x = 5x + (-1 + -1x)

Reorder the terms:
1 + 2x = -1 + 5x + -1x

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

Solving
1 + 2x = -1 + 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.
1 + 2x + -4x = -1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
1 + -2x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -2x = -1 + 0
1 + -2x = -1

Add '-1' to each side of the equation.
1 + -1 + -2x = -1 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -1 + -1
-2x = -1 + -1

Combine like terms: -1 + -1 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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