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

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


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

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

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

Reorder the terms:
5 + 5x = -4 + -1 + 2x

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

Solving
5 + 5x = -5 + 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.
5 + 5x + -2x = -5 + 2x + -2x

Combine like terms: 5x + -2x = 3x
5 + 3x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 3x = -5 + 0
5 + 3x = -5

Add '-5' to each side of the equation.
5 + -5 + 3x = -5 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -5 + -5
3x = -5 + -5

Combine like terms: -5 + -5 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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