10(3x-5)=4(12x+6)

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Solution for 10(3x-5)=4(12x+6) equation:


Simplifying
10(3x + -5) = 4(12x + 6)

Reorder the terms:
10(-5 + 3x) = 4(12x + 6)
(-5 * 10 + 3x * 10) = 4(12x + 6)
(-50 + 30x) = 4(12x + 6)

Reorder the terms:
-50 + 30x = 4(6 + 12x)
-50 + 30x = (6 * 4 + 12x * 4)
-50 + 30x = (24 + 48x)

Solving
-50 + 30x = 24 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-50 + 30x + -48x = 24 + 48x + -48x

Combine like terms: 30x + -48x = -18x
-50 + -18x = 24 + 48x + -48x

Combine like terms: 48x + -48x = 0
-50 + -18x = 24 + 0
-50 + -18x = 24

Add '50' to each side of the equation.
-50 + 50 + -18x = 24 + 50

Combine like terms: -50 + 50 = 0
0 + -18x = 24 + 50
-18x = 24 + 50

Combine like terms: 24 + 50 = 74
-18x = 74

Divide each side by '-18'.
x = -4.111111111

Simplifying
x = -4.111111111

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