(3x-1)+(4x+5)=(10x-2)

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Solution for (3x-1)+(4x+5)=(10x-2) equation:


Simplifying
(3x + -1) + (4x + 5) = (10x + -2)

Reorder the terms:
(-1 + 3x) + (4x + 5) = (10x + -2)

Remove parenthesis around (-1 + 3x)
-1 + 3x + (4x + 5) = (10x + -2)

Reorder the terms:
-1 + 3x + (5 + 4x) = (10x + -2)

Remove parenthesis around (5 + 4x)
-1 + 3x + 5 + 4x = (10x + -2)

Reorder the terms:
-1 + 5 + 3x + 4x = (10x + -2)

Combine like terms: -1 + 5 = 4
4 + 3x + 4x = (10x + -2)

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

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

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

Solving
4 + 7x = -2 + 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.
4 + 7x + -10x = -2 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
4 + -3x = -2 + 0
4 + -3x = -2

Add '-4' to each side of the equation.
4 + -4 + -3x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -2 + -4
-3x = -2 + -4

Combine like terms: -2 + -4 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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