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

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


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

Reorder the terms:
3x + -5(-1 + 2x) = 5x + 3
3x + (-1 * -5 + 2x * -5) = 5x + 3
3x + (5 + -10x) = 5x + 3

Reorder the terms:
5 + 3x + -10x = 5x + 3

Combine like terms: 3x + -10x = -7x
5 + -7x = 5x + 3

Reorder the terms:
5 + -7x = 3 + 5x

Solving
5 + -7x = 3 + 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.
5 + -7x + -5x = 3 + 5x + -5x

Combine like terms: -7x + -5x = -12x
5 + -12x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -12x = 3 + 0
5 + -12x = 3

Add '-5' to each side of the equation.
5 + -5 + -12x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -12x = 3 + -5
-12x = 3 + -5

Combine like terms: 3 + -5 = -2
-12x = -2

Divide each side by '-12'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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