8.2(x+4)=6.7x+52

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Solution for 8.2(x+4)=6.7x+52 equation: 


Simplifying
8.2(x + 4) = 6.7x + 52

Reorder the terms:
8.2(4 + x) = 6.7x + 52
(4 * 8.2 + x * 8.2) = 6.7x + 52
(32.8 + 8.2x) = 6.7x + 52

Reorder the terms:
32.8 + 8.2x = 52 + 6.7x

Solving
32.8 + 8.2x = 52 + 6.7x

Solving for variable 'x'.

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

Add '-6.7x' to each side of the equation.
32.8 + 8.2x + -6.7x = 52 + 6.7x + -6.7x

Combine like terms: 8.2x + -6.7x = 1.5x
32.8 + 1.5x = 52 + 6.7x + -6.7x

Combine like terms: 6.7x + -6.7x = 0.0
32.8 + 1.5x = 52 + 0.0
32.8 + 1.5x = 52

Add '-32.8' to each side of the equation.
32.8 + -32.8 + 1.5x = 52 + -32.8

Combine like terms: 32.8 + -32.8 = 0.0
0.0 + 1.5x = 52 + -32.8
1.5x = 52 + -32.8

Combine like terms: 52 + -32.8 = 19.2
1.5x = 19.2

Divide each side by '1.5'.
x = 12.8

Simplifying
x = 12.8

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