2(x-2)+15=5(x+1)

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Solution for 2(x-2)+15=5(x+1) equation:


Simplifying
2(x + -2) + 15 = 5(x + 1)

Reorder the terms:
2(-2 + x) + 15 = 5(x + 1)
(-2 * 2 + x * 2) + 15 = 5(x + 1)
(-4 + 2x) + 15 = 5(x + 1)

Reorder the terms:
-4 + 15 + 2x = 5(x + 1)

Combine like terms: -4 + 15 = 11
11 + 2x = 5(x + 1)

Reorder the terms:
11 + 2x = 5(1 + x)
11 + 2x = (1 * 5 + x * 5)
11 + 2x = (5 + 5x)

Solving
11 + 2x = 5 + 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.
11 + 2x + -5x = 5 + 5x + -5x

Combine like terms: 2x + -5x = -3x
11 + -3x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -3x = 5 + 0
11 + -3x = 5

Add '-11' to each side of the equation.
11 + -11 + -3x = 5 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 5 + -11
-3x = 5 + -11

Combine like terms: 5 + -11 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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