5x-2(x+4)=x-3(x-1)

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Solution for 5x-2(x+4)=x-3(x-1) equation:


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

Reorder the terms:
5x + -2(4 + x) = x + -3(x + -1)
5x + (4 * -2 + x * -2) = x + -3(x + -1)
5x + (-8 + -2x) = x + -3(x + -1)

Reorder the terms:
-8 + 5x + -2x = x + -3(x + -1)

Combine like terms: 5x + -2x = 3x
-8 + 3x = x + -3(x + -1)

Reorder the terms:
-8 + 3x = x + -3(-1 + x)
-8 + 3x = x + (-1 * -3 + x * -3)
-8 + 3x = x + (3 + -3x)

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

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

Solving
-8 + 3x = 3 + -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.
-8 + 3x + 2x = 3 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-8 + 5x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 5x = 3 + 0
-8 + 5x = 3

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

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

Combine like terms: 3 + 8 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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