5(x+1)-2(x-3)=10-(2x+3)

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Solution for 5(x+1)-2(x-3)=10-(2x+3) equation:


Simplifying
5(x + 1) + -2(x + -3) = 10 + -1(2x + 3)

Reorder the terms:
5(1 + x) + -2(x + -3) = 10 + -1(2x + 3)
(1 * 5 + x * 5) + -2(x + -3) = 10 + -1(2x + 3)
(5 + 5x) + -2(x + -3) = 10 + -1(2x + 3)

Reorder the terms:
5 + 5x + -2(-3 + x) = 10 + -1(2x + 3)
5 + 5x + (-3 * -2 + x * -2) = 10 + -1(2x + 3)
5 + 5x + (6 + -2x) = 10 + -1(2x + 3)

Reorder the terms:
5 + 6 + 5x + -2x = 10 + -1(2x + 3)

Combine like terms: 5 + 6 = 11
11 + 5x + -2x = 10 + -1(2x + 3)

Combine like terms: 5x + -2x = 3x
11 + 3x = 10 + -1(2x + 3)

Reorder the terms:
11 + 3x = 10 + -1(3 + 2x)
11 + 3x = 10 + (3 * -1 + 2x * -1)
11 + 3x = 10 + (-3 + -2x)

Combine like terms: 10 + -3 = 7
11 + 3x = 7 + -2x

Solving
11 + 3x = 7 + -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.
11 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
11 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 5x = 7 + 0
11 + 5x = 7

Add '-11' to each side of the equation.
11 + -11 + 5x = 7 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 7 + -11
5x = 7 + -11

Combine like terms: 7 + -11 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

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