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

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


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

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

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

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

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

Reorder the terms:
-2 + 3x = 5 + x + -3x

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

Solving
-2 + 3x = 5 + -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.
-2 + 3x + 2x = 5 + -2x + 2x

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

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

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

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

Combine like terms: 5 + 2 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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