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

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


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

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

Reorder the terms:
6 + -4 + 5x + -4x = 5x + -2

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

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

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

Solving
2 + 1x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 1x + -5x = -2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
2 + -4x = -2 + 0
2 + -4x = -2

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

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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