4x-(x+5)=6x-8

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Solution for 4x-(x+5)=6x-8 equation:


Simplifying
4x + -1(x + 5) = 6x + -8

Reorder the terms:
4x + -1(5 + x) = 6x + -8
4x + (5 * -1 + x * -1) = 6x + -8
4x + (-5 + -1x) = 6x + -8

Reorder the terms:
-5 + 4x + -1x = 6x + -8

Combine like terms: 4x + -1x = 3x
-5 + 3x = 6x + -8

Reorder the terms:
-5 + 3x = -8 + 6x

Solving
-5 + 3x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 3x + -6x = -8 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-5 + -3x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -3x = -8 + 0
-5 + -3x = -8

Add '5' to each side of the equation.
-5 + 5 + -3x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -8 + 5
-3x = -8 + 5

Combine like terms: -8 + 5 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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