4(x+2)+5=6-(2x-1)

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Solution for 4(x+2)+5=6-(2x-1) equation:


Simplifying
4(x + 2) + 5 = 6 + -1(2x + -1)

Reorder the terms:
4(2 + x) + 5 = 6 + -1(2x + -1)
(2 * 4 + x * 4) + 5 = 6 + -1(2x + -1)
(8 + 4x) + 5 = 6 + -1(2x + -1)

Reorder the terms:
8 + 5 + 4x = 6 + -1(2x + -1)

Combine like terms: 8 + 5 = 13
13 + 4x = 6 + -1(2x + -1)

Reorder the terms:
13 + 4x = 6 + -1(-1 + 2x)
13 + 4x = 6 + (-1 * -1 + 2x * -1)
13 + 4x = 6 + (1 + -2x)

Combine like terms: 6 + 1 = 7
13 + 4x = 7 + -2x

Solving
13 + 4x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
13 + 4x + 2x = 7 + -2x + 2x

Combine like terms: 4x + 2x = 6x
13 + 6x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 6x = 7 + 0
13 + 6x = 7

Add '-13' to each side of the equation.
13 + -13 + 6x = 7 + -13

Combine like terms: 13 + -13 = 0
0 + 6x = 7 + -13
6x = 7 + -13

Combine like terms: 7 + -13 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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