5(x+2)=11-2(x-3)

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Solution for 5(x+2)=11-2(x-3) equation:


Simplifying
5(x + 2) = 11 + -2(x + -3)

Reorder the terms:
5(2 + x) = 11 + -2(x + -3)
(2 * 5 + x * 5) = 11 + -2(x + -3)
(10 + 5x) = 11 + -2(x + -3)

Reorder the terms:
10 + 5x = 11 + -2(-3 + x)
10 + 5x = 11 + (-3 * -2 + x * -2)
10 + 5x = 11 + (6 + -2x)

Combine like terms: 11 + 6 = 17
10 + 5x = 17 + -2x

Solving
10 + 5x = 17 + -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.
10 + 5x + 2x = 17 + -2x + 2x

Combine like terms: 5x + 2x = 7x
10 + 7x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 7x = 17 + 0
10 + 7x = 17

Add '-10' to each side of the equation.
10 + -10 + 7x = 17 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 17 + -10
7x = 17 + -10

Combine like terms: 17 + -10 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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