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

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


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

Reorder the terms:
5(-3 + x) + -2(x + 2) = 2(x + 1)
(-3 * 5 + x * 5) + -2(x + 2) = 2(x + 1)
(-15 + 5x) + -2(x + 2) = 2(x + 1)

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

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

Combine like terms: -15 + -4 = -19
-19 + 5x + -2x = 2(x + 1)

Combine like terms: 5x + -2x = 3x
-19 + 3x = 2(x + 1)

Reorder the terms:
-19 + 3x = 2(1 + x)
-19 + 3x = (1 * 2 + x * 2)
-19 + 3x = (2 + 2x)

Solving
-19 + 3x = 2 + 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.
-19 + 3x + -2x = 2 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-19 + 1x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-19 + 1x = 2 + 0
-19 + 1x = 2

Add '19' to each side of the equation.
-19 + 19 + 1x = 2 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = 2 + 19
1x = 2 + 19

Combine like terms: 2 + 19 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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