5(x-3)=4(2x+6)

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Solution for 5(x-3)=4(2x+6) equation:


Simplifying
5(x + -3) = 4(2x + 6)

Reorder the terms:
5(-3 + x) = 4(2x + 6)
(-3 * 5 + x * 5) = 4(2x + 6)
(-15 + 5x) = 4(2x + 6)

Reorder the terms:
-15 + 5x = 4(6 + 2x)
-15 + 5x = (6 * 4 + 2x * 4)
-15 + 5x = (24 + 8x)

Solving
-15 + 5x = 24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-15 + 5x + -8x = 24 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-15 + -3x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -3x = 24 + 0
-15 + -3x = 24

Add '15' to each side of the equation.
-15 + 15 + -3x = 24 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = 24 + 15
-3x = 24 + 15

Combine like terms: 24 + 15 = 39
-3x = 39

Divide each side by '-3'.
x = -13

Simplifying
x = -13

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