6(5x+-13)=12(x+4)

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Solution for 6(5x+-13)=12(x+4) equation: 


Simplifying
6(5x + -13) = 12(x + 4)

Reorder the terms:
6(-13 + 5x) = 12(x + 4)
(-13 * 6 + 5x * 6) = 12(x + 4)
(-78 + 30x) = 12(x + 4)

Reorder the terms:
-78 + 30x = 12(4 + x)
-78 + 30x = (4 * 12 + x * 12)
-78 + 30x = (48 + 12x)

Solving
-78 + 30x = 48 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-78 + 30x + -12x = 48 + 12x + -12x

Combine like terms: 30x + -12x = 18x
-78 + 18x = 48 + 12x + -12x

Combine like terms: 12x + -12x = 0
-78 + 18x = 48 + 0
-78 + 18x = 48

Add '78' to each side of the equation.
-78 + 78 + 18x = 48 + 78

Combine like terms: -78 + 78 = 0
0 + 18x = 48 + 78
18x = 48 + 78

Combine like terms: 48 + 78 = 126
18x = 126

Divide each side by '18'.
x = 7

Simplifying
x = 7

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