5x-(x-10)=3x-(5x-6)

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Solution for 5x-(x-10)=3x-(5x-6) equation:


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

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

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

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

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

Reorder the terms:
10 + 4x = 6 + 3x + -5x

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

Solving
10 + 4x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + 4x + 2x = 6 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
10 + 6x = 6 + 0
10 + 6x = 6

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

Combine like terms: 10 + -10 = 0
0 + 6x = 6 + -10
6x = 6 + -10

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

Divide each side by '6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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