24(2x+7)=6(4x+36)

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Solution for 24(2x+7)=6(4x+36) equation:


Simplifying
24(2x + 7) = 6(4x + 36)

Reorder the terms:
24(7 + 2x) = 6(4x + 36)
(7 * 24 + 2x * 24) = 6(4x + 36)
(168 + 48x) = 6(4x + 36)

Reorder the terms:
168 + 48x = 6(36 + 4x)
168 + 48x = (36 * 6 + 4x * 6)
168 + 48x = (216 + 24x)

Solving
168 + 48x = 216 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
168 + 48x + -24x = 216 + 24x + -24x

Combine like terms: 48x + -24x = 24x
168 + 24x = 216 + 24x + -24x

Combine like terms: 24x + -24x = 0
168 + 24x = 216 + 0
168 + 24x = 216

Add '-168' to each side of the equation.
168 + -168 + 24x = 216 + -168

Combine like terms: 168 + -168 = 0
0 + 24x = 216 + -168
24x = 216 + -168

Combine like terms: 216 + -168 = 48
24x = 48

Divide each side by '24'.
x = 2

Simplifying
x = 2

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