5x-(4x+1)=8-2x

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Solution for 5x-(4x+1)=8-2x equation:


Simplifying
5x + -1(4x + 1) = 8 + -2x

Reorder the terms:
5x + -1(1 + 4x) = 8 + -2x
5x + (1 * -1 + 4x * -1) = 8 + -2x
5x + (-1 + -4x) = 8 + -2x

Reorder the terms:
-1 + 5x + -4x = 8 + -2x

Combine like terms: 5x + -4x = 1x
-1 + 1x = 8 + -2x

Solving
-1 + 1x = 8 + -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.
-1 + 1x + 2x = 8 + -2x + 2x

Combine like terms: 1x + 2x = 3x
-1 + 3x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 3x = 8 + 0
-1 + 3x = 8

Add '1' to each side of the equation.
-1 + 1 + 3x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 8 + 1
3x = 8 + 1

Combine like terms: 8 + 1 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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