13=x+0.7(16-x)

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Solution for 13=x+0.7(16-x) equation:


Simplifying
13 = x + 0.7(16 + -1x)
13 = x + (16 * 0.7 + -1x * 0.7)
13 = x + (11.2 + -0.7x)

Reorder the terms:
13 = 11.2 + x + -0.7x

Combine like terms: x + -0.7x = 0.3x
13 = 11.2 + 0.3x

Solving
13 = 11.2 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
13 + -0.3x = 11.2 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
13 + -0.3x = 11.2 + 0.0
13 + -0.3x = 11.2

Add '-13' to each side of the equation.
13 + -13 + -0.3x = 11.2 + -13

Combine like terms: 13 + -13 = 0
0 + -0.3x = 11.2 + -13
-0.3x = 11.2 + -13

Combine like terms: 11.2 + -13 = -1.8
-0.3x = -1.8

Divide each side by '-0.3'.
x = 6

Simplifying
x = 6

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