(10x-9)+5=(4x+7)+2x

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Solution for (10x-9)+5=(4x+7)+2x equation:


Simplifying
(10x + -9) + 5 = (4x + 7) + 2x

Reorder the terms:
(-9 + 10x) + 5 = (4x + 7) + 2x

Remove parenthesis around (-9 + 10x)
-9 + 10x + 5 = (4x + 7) + 2x

Reorder the terms:
-9 + 5 + 10x = (4x + 7) + 2x

Combine like terms: -9 + 5 = -4
-4 + 10x = (4x + 7) + 2x

Reorder the terms:
-4 + 10x = (7 + 4x) + 2x

Remove parenthesis around (7 + 4x)
-4 + 10x = 7 + 4x + 2x

Combine like terms: 4x + 2x = 6x
-4 + 10x = 7 + 6x

Solving
-4 + 10x = 7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4 + 10x + -6x = 7 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-4 + 4x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + 4x = 7 + 0
-4 + 4x = 7

Add '4' to each side of the equation.
-4 + 4 + 4x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 7 + 4
4x = 7 + 4

Combine like terms: 7 + 4 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75

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