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

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


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

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

Combine like terms: 6x + 5x = 11x
-6 + 11x + 3x = 10 + -4(2 + -1x)

Combine like terms: 11x + 3x = 14x
-6 + 14x = 10 + -4(2 + -1x)
-6 + 14x = 10 + (2 * -4 + -1x * -4)
-6 + 14x = 10 + (-8 + 4x)

Combine like terms: 10 + -8 = 2
-6 + 14x = 2 + 4x

Solving
-6 + 14x = 2 + 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.
-6 + 14x + -4x = 2 + 4x + -4x

Combine like terms: 14x + -4x = 10x
-6 + 10x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 10x = 2 + 0
-6 + 10x = 2

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

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

Combine like terms: 2 + 6 = 8
10x = 8

Divide each side by '10'.
x = 0.8

Simplifying
x = 0.8

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