3x+1=2(x-5)

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


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

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

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

Solving
1 + 3x = -10 + 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.
1 + 3x + -2x = -10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
1 + 1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 1x = -10 + 0
1 + 1x = -10

Add '-1' to each side of the equation.
1 + -1 + 1x = -10 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = -10 + -1
1x = -10 + -1

Combine like terms: -10 + -1 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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