6(4x+7)2=282

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Solution for 6(4x+7)2=282 equation:


Simplifying
6(4x + 7) * 2 = 282

Reorder the terms:
6(7 + 4x) * 2 = 282

Reorder the terms for easier multiplication:
6 * 2(7 + 4x) = 282

Multiply 6 * 2
12(7 + 4x) = 282
(7 * 12 + 4x * 12) = 282
(84 + 48x) = 282

Solving
84 + 48x = 282

Solving for variable 'x'.

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

Add '-84' to each side of the equation.
84 + -84 + 48x = 282 + -84

Combine like terms: 84 + -84 = 0
0 + 48x = 282 + -84
48x = 282 + -84

Combine like terms: 282 + -84 = 198
48x = 198

Divide each side by '48'.
x = 4.125

Simplifying
x = 4.125

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