10+(5x-6)-4x=2-(3x-1)

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Solution for 10+(5x-6)-4x=2-(3x-1) equation:


Simplifying
10 + (5x + -6) + -4x = 2 + -1(3x + -1)

Reorder the terms:
10 + (-6 + 5x) + -4x = 2 + -1(3x + -1)

Remove parenthesis around (-6 + 5x)
10 + -6 + 5x + -4x = 2 + -1(3x + -1)

Combine like terms: 10 + -6 = 4
4 + 5x + -4x = 2 + -1(3x + -1)

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

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

Combine like terms: 2 + 1 = 3
4 + 1x = 3 + -3x

Solving
4 + 1x = 3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + 1x + 3x = 3 + -3x + 3x

Combine like terms: 1x + 3x = 4x
4 + 4x = 3 + -3x + 3x

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

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

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

Combine like terms: 3 + -4 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25

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