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

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


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

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

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

Combine like terms: -8 + -3 = -11
-11 + 4x = 5(x + 2)

Reorder the terms:
-11 + 4x = 5(2 + x)
-11 + 4x = (2 * 5 + x * 5)
-11 + 4x = (10 + 5x)

Solving
-11 + 4x = 10 + 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.
-11 + 4x + -5x = 10 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-11 + -1x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-11 + -1x = 10 + 0
-11 + -1x = 10

Add '11' to each side of the equation.
-11 + 11 + -1x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 10 + 11
-1x = 10 + 11

Combine like terms: 10 + 11 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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