5(x+2)=3(x-1)+23

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Solution for 5(x+2)=3(x-1)+23 equation:


Simplifying
5(x + 2) = 3(x + -1) + 23

Reorder the terms:
5(2 + x) = 3(x + -1) + 23
(2 * 5 + x * 5) = 3(x + -1) + 23
(10 + 5x) = 3(x + -1) + 23

Reorder the terms:
10 + 5x = 3(-1 + x) + 23
10 + 5x = (-1 * 3 + x * 3) + 23
10 + 5x = (-3 + 3x) + 23

Reorder the terms:
10 + 5x = -3 + 23 + 3x

Combine like terms: -3 + 23 = 20
10 + 5x = 20 + 3x

Solving
10 + 5x = 20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 5x + -3x = 20 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = 20 + 0
10 + 2x = 20

Add '-10' to each side of the equation.
10 + -10 + 2x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 20 + -10
2x = 20 + -10

Combine like terms: 20 + -10 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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