2(x+4)-3=5(x-2)

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Solution for 2(x+4)-3=5(x-2) equation:


Simplifying
2(x + 4) + -3 = 5(x + -2)

Reorder the terms:
2(4 + x) + -3 = 5(x + -2)
(4 * 2 + x * 2) + -3 = 5(x + -2)
(8 + 2x) + -3 = 5(x + -2)

Reorder the terms:
8 + -3 + 2x = 5(x + -2)

Combine like terms: 8 + -3 = 5
5 + 2x = 5(x + -2)

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

Solving
5 + 2x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + 2x + -5x = -10 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
5 + -3x = -10 + 0
5 + -3x = -10

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

Combine like terms: 5 + -5 = 0
0 + -3x = -10 + -5
-3x = -10 + -5

Combine like terms: -10 + -5 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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