8(3x+7)+7(3X+4)=354

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Solution for 8(3x+7)+7(3X+4)=354 equation: 


Simplifying
8(3x + 7) + 7(3X + 4) = 354

Reorder the terms:
8(7 + 3x) + 7(3X + 4) = 354
(7 * 8 + 3x * 8) + 7(3X + 4) = 354
(56 + 24x) + 7(3X + 4) = 354

Reorder the terms:
56 + 24x + 7(4 + 3X) = 354
56 + 24x + (4 * 7 + 3X * 7) = 354
56 + 24x + (28 + 21X) = 354

Reorder the terms:
56 + 28 + 21X + 24x = 354

Combine like terms: 56 + 28 = 84
84 + 21X + 24x = 354

Solving
84 + 21X + 24x = 354

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 + 21X + -84 + 24x = 354 + -84

Reorder the terms:
84 + -84 + 21X + 24x = 354 + -84

Combine like terms: 84 + -84 = 0
0 + 21X + 24x = 354 + -84
21X + 24x = 354 + -84

Combine like terms: 354 + -84 = 270
21X + 24x = 270

Add '-24x' to each side of the equation.
21X + 24x + -24x = 270 + -24x

Combine like terms: 24x + -24x = 0
21X + 0 = 270 + -24x
21X = 270 + -24x

Divide each side by '21'.
X = 12.85714286 + -1.142857143x

Simplifying
X = 12.85714286 + -1.142857143x

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