6(2x+1)+4=5(3x-1)

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Solution for 6(2x+1)+4=5(3x-1) equation:


Simplifying
6(2x + 1) + 4 = 5(3x + -1)

Reorder the terms:
6(1 + 2x) + 4 = 5(3x + -1)
(1 * 6 + 2x * 6) + 4 = 5(3x + -1)
(6 + 12x) + 4 = 5(3x + -1)

Reorder the terms:
6 + 4 + 12x = 5(3x + -1)

Combine like terms: 6 + 4 = 10
10 + 12x = 5(3x + -1)

Reorder the terms:
10 + 12x = 5(-1 + 3x)
10 + 12x = (-1 * 5 + 3x * 5)
10 + 12x = (-5 + 15x)

Solving
10 + 12x = -5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
10 + 12x + -15x = -5 + 15x + -15x

Combine like terms: 12x + -15x = -3x
10 + -3x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
10 + -3x = -5 + 0
10 + -3x = -5

Add '-10' to each side of the equation.
10 + -10 + -3x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -5 + -10
-3x = -5 + -10

Combine like terms: -5 + -10 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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