5(x-2)+4=x+9-2x

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Solution for 5(x-2)+4=x+9-2x equation:


Simplifying
5(x + -2) + 4 = x + 9 + -2x

Reorder the terms:
5(-2 + x) + 4 = x + 9 + -2x
(-2 * 5 + x * 5) + 4 = x + 9 + -2x
(-10 + 5x) + 4 = x + 9 + -2x

Reorder the terms:
-10 + 4 + 5x = x + 9 + -2x

Combine like terms: -10 + 4 = -6
-6 + 5x = x + 9 + -2x

Reorder the terms:
-6 + 5x = 9 + x + -2x

Combine like terms: x + -2x = -1x
-6 + 5x = 9 + -1x

Solving
-6 + 5x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 5x + x = 9 + -1x + x

Combine like terms: 5x + x = 6x
-6 + 6x = 9 + -1x + x

Combine like terms: -1x + x = 0
-6 + 6x = 9 + 0
-6 + 6x = 9

Add '6' to each side of the equation.
-6 + 6 + 6x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 9 + 6
6x = 9 + 6

Combine like terms: 9 + 6 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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