(2x+6)(4)=(5x)(8)

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Solution for (2x+6)(4)=(5x)(8) equation:


Simplifying
(2x + 6)(4) = (5x)(8)

Reorder the terms:
(6 + 2x)(4) = (5x)(8)

Reorder the terms for easier multiplication:
4(6 + 2x) = (5x)(8)
(6 * 4 + 2x * 4) = (5x)(8)
(24 + 8x) = (5x)(8)

Remove parenthesis around (5x)
24 + 8x = 5x(8)

Reorder the terms for easier multiplication:
24 + 8x = 5 * 8x

Multiply 5 * 8
24 + 8x = 40x

Solving
24 + 8x = 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
24 + 8x + -40x = 40x + -40x

Combine like terms: 8x + -40x = -32x
24 + -32x = 40x + -40x

Combine like terms: 40x + -40x = 0
24 + -32x = 0

Add '-24' to each side of the equation.
24 + -24 + -32x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -32x = 0 + -24
-32x = 0 + -24

Combine like terms: 0 + -24 = -24
-32x = -24

Divide each side by '-32'.
x = 0.75

Simplifying
x = 0.75

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