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

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


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

Reorder the terms:
4(-2 + x) + -3 = (2 + -1x) * 5
(-2 * 4 + x * 4) + -3 = (2 + -1x) * 5
(-8 + 4x) + -3 = (2 + -1x) * 5

Reorder the terms:
-8 + -3 + 4x = (2 + -1x) * 5

Combine like terms: -8 + -3 = -11
-11 + 4x = (2 + -1x) * 5

Reorder the terms for easier multiplication:
-11 + 4x = 5(2 + -1x)
-11 + 4x = (2 * 5 + -1x * 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 = 9x
-11 + 9x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-11 + 9x = 10 + 0
-11 + 9x = 10

Add '11' to each side of the equation.
-11 + 11 + 9x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = 10 + 11
9x = 10 + 11

Combine like terms: 10 + 11 = 21
9x = 21

Divide each side by '9'.
x = 2.333333333

Simplifying
x = 2.333333333

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