4(3x+13)+5(x+32)=280

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Solution for 4(3x+13)+5(x+32)=280 equation:


Simplifying
4(3x + 13) + 5(x + 32) = 280

Reorder the terms:
4(13 + 3x) + 5(x + 32) = 280
(13 * 4 + 3x * 4) + 5(x + 32) = 280
(52 + 12x) + 5(x + 32) = 280

Reorder the terms:
52 + 12x + 5(32 + x) = 280
52 + 12x + (32 * 5 + x * 5) = 280
52 + 12x + (160 + 5x) = 280

Reorder the terms:
52 + 160 + 12x + 5x = 280

Combine like terms: 52 + 160 = 212
212 + 12x + 5x = 280

Combine like terms: 12x + 5x = 17x
212 + 17x = 280

Solving
212 + 17x = 280

Solving for variable 'x'.

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

Add '-212' to each side of the equation.
212 + -212 + 17x = 280 + -212

Combine like terms: 212 + -212 = 0
0 + 17x = 280 + -212
17x = 280 + -212

Combine like terms: 280 + -212 = 68
17x = 68

Divide each side by '17'.
x = 4

Simplifying
x = 4

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