13+7.1x=5(1.5x+2)

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Solution for 13+7.1x=5(1.5x+2) equation:


Simplifying
13 + 7.1x = 5(1.5x + 2)

Reorder the terms:
13 + 7.1x = 5(2 + 1.5x)
13 + 7.1x = (2 * 5 + 1.5x * 5)
13 + 7.1x = (10 + 7.5x)

Solving
13 + 7.1x = 10 + 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.
13 + 7.1x + -7.5x = 10 + 7.5x + -7.5x

Combine like terms: 7.1x + -7.5x = -0.4x
13 + -0.4x = 10 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
13 + -0.4x = 10 + 0.0
13 + -0.4x = 10

Add '-13' to each side of the equation.
13 + -13 + -0.4x = 10 + -13

Combine like terms: 13 + -13 = 0
0 + -0.4x = 10 + -13
-0.4x = 10 + -13

Combine like terms: 10 + -13 = -3
-0.4x = -3

Divide each side by '-0.4'.
x = 7.5

Simplifying
x = 7.5

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