4x+12=5(2x+6)

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Solution for 4x+12=5(2x+6) equation:


Simplifying
4x + 12 = 5(2x + 6)

Reorder the terms:
12 + 4x = 5(2x + 6)

Reorder the terms:
12 + 4x = 5(6 + 2x)
12 + 4x = (6 * 5 + 2x * 5)
12 + 4x = (30 + 10x)

Solving
12 + 4x = 30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 4x + -10x = 30 + 10x + -10x

Combine like terms: 4x + -10x = -6x
12 + -6x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -6x = 30 + 0
12 + -6x = 30

Add '-12' to each side of the equation.
12 + -12 + -6x = 30 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = 30 + -12
-6x = 30 + -12

Combine like terms: 30 + -12 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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