3(5x+1)-2(6x+3)=2(x-1)

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Solution for 3(5x+1)-2(6x+3)=2(x-1) equation:


Simplifying
3(5x + 1) + -2(6x + 3) = 2(x + -1)

Reorder the terms:
3(1 + 5x) + -2(6x + 3) = 2(x + -1)
(1 * 3 + 5x * 3) + -2(6x + 3) = 2(x + -1)
(3 + 15x) + -2(6x + 3) = 2(x + -1)

Reorder the terms:
3 + 15x + -2(3 + 6x) = 2(x + -1)
3 + 15x + (3 * -2 + 6x * -2) = 2(x + -1)
3 + 15x + (-6 + -12x) = 2(x + -1)

Reorder the terms:
3 + -6 + 15x + -12x = 2(x + -1)

Combine like terms: 3 + -6 = -3
-3 + 15x + -12x = 2(x + -1)

Combine like terms: 15x + -12x = 3x
-3 + 3x = 2(x + -1)

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

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

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

Combine like terms: 2x + -2x = 0
-3 + 1x = -2 + 0
-3 + 1x = -2

Add '3' to each side of the equation.
-3 + 3 + 1x = -2 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -2 + 3
1x = -2 + 3

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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