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

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


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

Reorder the terms:
5 + -4(2 + x) = 2(x + 3)
5 + (2 * -4 + x * -4) = 2(x + 3)
5 + (-8 + -4x) = 2(x + 3)

Combine like terms: 5 + -8 = -3
-3 + -4x = 2(x + 3)

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

Solving
-3 + -4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + -4x + -2x = 6 + 2x + -2x

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

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

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

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

Combine like terms: 6 + 3 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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