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

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


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

Reorder the terms:
5(-2 + x) + -3 = -1(x + 1)
(-2 * 5 + x * 5) + -3 = -1(x + 1)
(-10 + 5x) + -3 = -1(x + 1)

Reorder the terms:
-10 + -3 + 5x = -1(x + 1)

Combine like terms: -10 + -3 = -13
-13 + 5x = -1(x + 1)

Reorder the terms:
-13 + 5x = -1(1 + x)
-13 + 5x = (1 * -1 + x * -1)
-13 + 5x = (-1 + -1x)

Solving
-13 + 5x = -1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-13 + 5x + x = -1 + -1x + x

Combine like terms: 5x + x = 6x
-13 + 6x = -1 + -1x + x

Combine like terms: -1x + x = 0
-13 + 6x = -1 + 0
-13 + 6x = -1

Add '13' to each side of the equation.
-13 + 13 + 6x = -1 + 13

Combine like terms: -13 + 13 = 0
0 + 6x = -1 + 13
6x = -1 + 13

Combine like terms: -1 + 13 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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