7(4x+15)=6(8x+4)

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Solution for 7(4x+15)=6(8x+4) equation:


Simplifying
7(4x + 15) = 6(8x + 4)

Reorder the terms:
7(15 + 4x) = 6(8x + 4)
(15 * 7 + 4x * 7) = 6(8x + 4)
(105 + 28x) = 6(8x + 4)

Reorder the terms:
105 + 28x = 6(4 + 8x)
105 + 28x = (4 * 6 + 8x * 6)
105 + 28x = (24 + 48x)

Solving
105 + 28x = 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.
105 + 28x + -48x = 24 + 48x + -48x

Combine like terms: 28x + -48x = -20x
105 + -20x = 24 + 48x + -48x

Combine like terms: 48x + -48x = 0
105 + -20x = 24 + 0
105 + -20x = 24

Add '-105' to each side of the equation.
105 + -105 + -20x = 24 + -105

Combine like terms: 105 + -105 = 0
0 + -20x = 24 + -105
-20x = 24 + -105

Combine like terms: 24 + -105 = -81
-20x = -81

Divide each side by '-20'.
x = 4.05

Simplifying
x = 4.05

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