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

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


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

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

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

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

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

Reorder the terms:
-6 + 3x = 6 + 5x + 6x

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

Solving
-6 + 3x = 6 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.
-6 + 3x + -11x = 6 + 11x + -11x

Combine like terms: 3x + -11x = -8x
-6 + -8x = 6 + 11x + -11x

Combine like terms: 11x + -11x = 0
-6 + -8x = 6 + 0
-6 + -8x = 6

Add '6' to each side of the equation.
-6 + 6 + -8x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 6 + 6
-8x = 6 + 6

Combine like terms: 6 + 6 = 12
-8x = 12

Divide each side by '-8'.
x = -1.5

Simplifying
x = -1.5

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