5(4x+3)=4(7x-6)

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Solution for 5(4x+3)=4(7x-6) equation:


Simplifying
5(4x + 3) = 4(7x + -6)

Reorder the terms:
5(3 + 4x) = 4(7x + -6)
(3 * 5 + 4x * 5) = 4(7x + -6)
(15 + 20x) = 4(7x + -6)

Reorder the terms:
15 + 20x = 4(-6 + 7x)
15 + 20x = (-6 * 4 + 7x * 4)
15 + 20x = (-24 + 28x)

Solving
15 + 20x = -24 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
15 + 20x + -28x = -24 + 28x + -28x

Combine like terms: 20x + -28x = -8x
15 + -8x = -24 + 28x + -28x

Combine like terms: 28x + -28x = 0
15 + -8x = -24 + 0
15 + -8x = -24

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

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

Combine like terms: -24 + -15 = -39
-8x = -39

Divide each side by '-8'.
x = 4.875

Simplifying
x = 4.875

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