x+(2x-4)+(x+5)+2x+6=10x

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Solution for x+(2x-4)+(x+5)+2x+6=10x equation:


Simplifying
x + (2x + -4) + (x + 5) + 2x + 6 = 10x

Reorder the terms:
x + (-4 + 2x) + (x + 5) + 2x + 6 = 10x

Remove parenthesis around (-4 + 2x)
x + -4 + 2x + (x + 5) + 2x + 6 = 10x

Reorder the terms:
x + -4 + 2x + (5 + x) + 2x + 6 = 10x

Remove parenthesis around (5 + x)
x + -4 + 2x + 5 + x + 2x + 6 = 10x

Reorder the terms:
-4 + 5 + 6 + x + 2x + x + 2x = 10x

Combine like terms: -4 + 5 = 1
1 + 6 + x + 2x + x + 2x = 10x

Combine like terms: 1 + 6 = 7
7 + x + 2x + x + 2x = 10x

Combine like terms: x + 2x = 3x
7 + 3x + x + 2x = 10x

Combine like terms: 3x + x = 4x
7 + 4x + 2x = 10x

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

Solving
7 + 6x = 10x

Solving for variable 'x'.

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

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

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

Combine like terms: 10x + -10x = 0
7 + -4x = 0

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

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

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

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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