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

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


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

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

Remove parenthesis around (1 + 3x)
1 + 3x = 5(x + -2)

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

Solving
1 + 3x = -10 + 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.
1 + 3x + -5x = -10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
1 + -2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -2x = -10 + 0
1 + -2x = -10

Add '-1' to each side of the equation.
1 + -1 + -2x = -10 + -1

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

Combine like terms: -10 + -1 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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