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

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


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

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

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

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

Reorder the terms:
3 + 2x = 5(3 + x)
3 + 2x = (3 * 5 + x * 5)
3 + 2x = (15 + 5x)

Solving
3 + 2x = 15 + 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.
3 + 2x + -5x = 15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
3 + -3x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -3x = 15 + 0
3 + -3x = 15

Add '-3' to each side of the equation.
3 + -3 + -3x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 15 + -3
-3x = 15 + -3

Combine like terms: 15 + -3 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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