6(3x-9)+12=4(x+7)

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Solution for 6(3x-9)+12=4(x+7) equation:


Simplifying
6(3x + -9) + 12 = 4(x + 7)

Reorder the terms:
6(-9 + 3x) + 12 = 4(x + 7)
(-9 * 6 + 3x * 6) + 12 = 4(x + 7)
(-54 + 18x) + 12 = 4(x + 7)

Reorder the terms:
-54 + 12 + 18x = 4(x + 7)

Combine like terms: -54 + 12 = -42
-42 + 18x = 4(x + 7)

Reorder the terms:
-42 + 18x = 4(7 + x)
-42 + 18x = (7 * 4 + x * 4)
-42 + 18x = (28 + 4x)

Solving
-42 + 18x = 28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-42 + 18x + -4x = 28 + 4x + -4x

Combine like terms: 18x + -4x = 14x
-42 + 14x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-42 + 14x = 28 + 0
-42 + 14x = 28

Add '42' to each side of the equation.
-42 + 42 + 14x = 28 + 42

Combine like terms: -42 + 42 = 0
0 + 14x = 28 + 42
14x = 28 + 42

Combine like terms: 28 + 42 = 70
14x = 70

Divide each side by '14'.
x = 5

Simplifying
x = 5

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