4-5(x+2)=2-3x

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Solution for 4-5(x+2)=2-3x equation:


Simplifying
4 + -5(x + 2) = 2 + -3x

Reorder the terms:
4 + -5(2 + x) = 2 + -3x
4 + (2 * -5 + x * -5) = 2 + -3x
4 + (-10 + -5x) = 2 + -3x

Combine like terms: 4 + -10 = -6
-6 + -5x = 2 + -3x

Solving
-6 + -5x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + -5x + 3x = 2 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-6 + -2x = 2 + 0
-6 + -2x = 2

Add '6' to each side of the equation.
-6 + 6 + -2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 2 + 6
-2x = 2 + 6

Combine like terms: 2 + 6 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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