11.3(x+7)=7.5x+101.9

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Solution for 11.3(x+7)=7.5x+101.9 equation: 


Simplifying
11.3(x + 7) = 7.5x + 101.9

Reorder the terms:
11.3(7 + x) = 7.5x + 101.9
(7 * 11.3 + x * 11.3) = 7.5x + 101.9
(79.1 + 11.3x) = 7.5x + 101.9

Reorder the terms:
79.1 + 11.3x = 101.9 + 7.5x

Solving
79.1 + 11.3x = 101.9 + 7.5x

Solving for variable 'x'.

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

Add '-7.5x' to each side of the equation.
79.1 + 11.3x + -7.5x = 101.9 + 7.5x + -7.5x

Combine like terms: 11.3x + -7.5x = 3.8x
79.1 + 3.8x = 101.9 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
79.1 + 3.8x = 101.9 + 0.0
79.1 + 3.8x = 101.9

Add '-79.1' to each side of the equation.
79.1 + -79.1 + 3.8x = 101.9 + -79.1

Combine like terms: 79.1 + -79.1 = 0.0
0.0 + 3.8x = 101.9 + -79.1
3.8x = 101.9 + -79.1

Combine like terms: 101.9 + -79.1 = 22.8
3.8x = 22.8

Divide each side by '3.8'.
x = 6

Simplifying
x = 6

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