4-3(x+2)=5(x-1)-2x

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Solution for 4-3(x+2)=5(x-1)-2x equation:


Simplifying
4 + -3(x + 2) = 5(x + -1) + -2x

Reorder the terms:
4 + -3(2 + x) = 5(x + -1) + -2x
4 + (2 * -3 + x * -3) = 5(x + -1) + -2x
4 + (-6 + -3x) = 5(x + -1) + -2x

Combine like terms: 4 + -6 = -2
-2 + -3x = 5(x + -1) + -2x

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

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

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

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

Combine like terms: 3x + -3x = 0
-2 + -6x = -5 + 0
-2 + -6x = -5

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

Combine like terms: -2 + 2 = 0
0 + -6x = -5 + 2
-6x = -5 + 2

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

Divide each side by '-6'.
x = 0.5

Simplifying
x = 0.5

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