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

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


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

Reorder the terms:
4(2 + x) + -5(x + 2) = 2
(2 * 4 + x * 4) + -5(x + 2) = 2
(8 + 4x) + -5(x + 2) = 2

Reorder the terms:
8 + 4x + -5(2 + x) = 2
8 + 4x + (2 * -5 + x * -5) = 2
8 + 4x + (-10 + -5x) = 2

Reorder the terms:
8 + -10 + 4x + -5x = 2

Combine like terms: 8 + -10 = -2
-2 + 4x + -5x = 2

Combine like terms: 4x + -5x = -1x
-2 + -1x = 2

Solving
-2 + -1x = 2

Solving for variable 'x'.

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

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

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

Combine like terms: 2 + 2 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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