1.3(x+8)=0.75(2x+12)

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Solution for 1.3(x+8)=0.75(2x+12) equation: 


Simplifying
1.3(x + 8) = 0.75(2x + 12)

Reorder the terms:
1.3(8 + x) = 0.75(2x + 12)
(8 * 1.3 + x * 1.3) = 0.75(2x + 12)
(10.4 + 1.3x) = 0.75(2x + 12)

Reorder the terms:
10.4 + 1.3x = 0.75(12 + 2x)
10.4 + 1.3x = (12 * 0.75 + 2x * 0.75)
10.4 + 1.3x = (9 + 1.5x)

Solving
10.4 + 1.3x = 9 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
10.4 + 1.3x + -1.5x = 9 + 1.5x + -1.5x

Combine like terms: 1.3x + -1.5x = -0.2x
10.4 + -0.2x = 9 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
10.4 + -0.2x = 9 + 0.0
10.4 + -0.2x = 9

Add '-10.4' to each side of the equation.
10.4 + -10.4 + -0.2x = 9 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + -0.2x = 9 + -10.4
-0.2x = 9 + -10.4

Combine like terms: 9 + -10.4 = -1.4
-0.2x = -1.4

Divide each side by '-0.2'.
x = 7

Simplifying
x = 7

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