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

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


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

Reorder the terms:
6(4 + 3x) + -2 = 2(x + -5)
(4 * 6 + 3x * 6) + -2 = 2(x + -5)
(24 + 18x) + -2 = 2(x + -5)

Reorder the terms:
24 + -2 + 18x = 2(x + -5)

Combine like terms: 24 + -2 = 22
22 + 18x = 2(x + -5)

Reorder the terms:
22 + 18x = 2(-5 + x)
22 + 18x = (-5 * 2 + x * 2)
22 + 18x = (-10 + 2x)

Solving
22 + 18x = -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.
22 + 18x + -2x = -10 + 2x + -2x

Combine like terms: 18x + -2x = 16x
22 + 16x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + 16x = -10 + 0
22 + 16x = -10

Add '-22' to each side of the equation.
22 + -22 + 16x = -10 + -22

Combine like terms: 22 + -22 = 0
0 + 16x = -10 + -22
16x = -10 + -22

Combine like terms: -10 + -22 = -32
16x = -32

Divide each side by '16'.
x = -2

Simplifying
x = -2

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