5(8x+4)+33(2x+9)=53

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Solution for 5(8x+4)+33(2x+9)=53 equation: 


Simplifying
5(8x + 4) + 33(2x + 9) = 53

Reorder the terms:
5(4 + 8x) + 33(2x + 9) = 53
(4 * 5 + 8x * 5) + 33(2x + 9) = 53
(20 + 40x) + 33(2x + 9) = 53

Reorder the terms:
20 + 40x + 33(9 + 2x) = 53
20 + 40x + (9 * 33 + 2x * 33) = 53
20 + 40x + (297 + 66x) = 53

Reorder the terms:
20 + 297 + 40x + 66x = 53

Combine like terms: 20 + 297 = 317
317 + 40x + 66x = 53

Combine like terms: 40x + 66x = 106x
317 + 106x = 53

Solving
317 + 106x = 53

Solving for variable 'x'.

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

Add '-317' to each side of the equation.
317 + -317 + 106x = 53 + -317

Combine like terms: 317 + -317 = 0
0 + 106x = 53 + -317
106x = 53 + -317

Combine like terms: 53 + -317 = -264
106x = -264

Divide each side by '106'.
x = -2.490566038

Simplifying
x = -2.490566038

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