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

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


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

Reorder the terms:
2x + -3(1 + 5x) = 3 + -1x
2x + (1 * -3 + 5x * -3) = 3 + -1x
2x + (-3 + -15x) = 3 + -1x

Reorder the terms:
-3 + 2x + -15x = 3 + -1x

Combine like terms: 2x + -15x = -13x
-3 + -13x = 3 + -1x

Solving
-3 + -13x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + -13x + x = 3 + -1x + x

Combine like terms: -13x + x = -12x
-3 + -12x = 3 + -1x + x

Combine like terms: -1x + x = 0
-3 + -12x = 3 + 0
-3 + -12x = 3

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

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

Combine like terms: 3 + 3 = 6
-12x = 6

Divide each side by '-12'.
x = -0.5

Simplifying
x = -0.5

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