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

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


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

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

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

Combine like terms: 10 + -3 = 7
7 + 5x = 2(x + 5)

Reorder the terms:
7 + 5x = 2(5 + x)
7 + 5x = (5 * 2 + x * 2)
7 + 5x = (10 + 2x)

Solving
7 + 5x = 10 + 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.
7 + 5x + -2x = 10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
7 + 3x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 3x = 10 + 0
7 + 3x = 10

Add '-7' to each side of the equation.
7 + -7 + 3x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 10 + -7
3x = 10 + -7

Combine like terms: 10 + -7 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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