2-3(x+2)=5x-20

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Solution for 2-3(x+2)=5x-20 equation:


Simplifying
2 + -3(x + 2) = 5x + -20

Reorder the terms:
2 + -3(2 + x) = 5x + -20
2 + (2 * -3 + x * -3) = 5x + -20
2 + (-6 + -3x) = 5x + -20

Combine like terms: 2 + -6 = -4
-4 + -3x = 5x + -20

Reorder the terms:
-4 + -3x = -20 + 5x

Solving
-4 + -3x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + -3x + -5x = -20 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-4 + -8x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -8x = -20 + 0
-4 + -8x = -20

Add '4' to each side of the equation.
-4 + 4 + -8x = -20 + 4

Combine like terms: -4 + 4 = 0
0 + -8x = -20 + 4
-8x = -20 + 4

Combine like terms: -20 + 4 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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