6(x+4)-4=2(x+15)

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Solution for 6(x+4)-4=2(x+15) equation:


Simplifying
6(x + 4) + -4 = 2(x + 15)

Reorder the terms:
6(4 + x) + -4 = 2(x + 15)
(4 * 6 + x * 6) + -4 = 2(x + 15)
(24 + 6x) + -4 = 2(x + 15)

Reorder the terms:
24 + -4 + 6x = 2(x + 15)

Combine like terms: 24 + -4 = 20
20 + 6x = 2(x + 15)

Reorder the terms:
20 + 6x = 2(15 + x)
20 + 6x = (15 * 2 + x * 2)
20 + 6x = (30 + 2x)

Solving
20 + 6x = 30 + 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.
20 + 6x + -2x = 30 + 2x + -2x

Combine like terms: 6x + -2x = 4x
20 + 4x = 30 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 4x = 30 + 0
20 + 4x = 30

Add '-20' to each side of the equation.
20 + -20 + 4x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 30 + -20
4x = 30 + -20

Combine like terms: 30 + -20 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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