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

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


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

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

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

Reorder the terms:
10 + 5x = -2 + 3 + 2x

Combine like terms: -2 + 3 = 1
10 + 5x = 1 + 2x

Solving
10 + 5x = 1 + 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.
10 + 5x + -2x = 1 + 2x + -2x

Combine like terms: 5x + -2x = 3x
10 + 3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 3x = 1 + 0
10 + 3x = 1

Add '-10' to each side of the equation.
10 + -10 + 3x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 1 + -10
3x = 1 + -10

Combine like terms: 1 + -10 = -9
3x = -9

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

Simplifying
x = -3

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