(10x-7)+(5x)=(4x+6)

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Solution for (10x-7)+(5x)=(4x+6) equation:


Simplifying
(10x + -7) + (5x) = (4x + 6)

Reorder the terms:
(-7 + 10x) + (5x) = (4x + 6)

Remove parenthesis around (-7 + 10x)
-7 + 10x + (5x) = (4x + 6)

Combine like terms: 10x + (5x) = 15x
-7 + 15x = (4x + 6)

Reorder the terms:
-7 + 15x = (6 + 4x)

Remove parenthesis around (6 + 4x)
-7 + 15x = 6 + 4x

Solving
-7 + 15x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 15x + -4x = 6 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-7 + 11x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 11x = 6 + 0
-7 + 11x = 6

Add '7' to each side of the equation.
-7 + 7 + 11x = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = 6 + 7
11x = 6 + 7

Combine like terms: 6 + 7 = 13
11x = 13

Divide each side by '11'.
x = 1.181818182

Simplifying
x = 1.181818182

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