8=x+0.7(10-x)

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Solution for 8=x+0.7(10-x) equation:


Simplifying
8 = x + 0.7(10 + -1x)
8 = x + (10 * 0.7 + -1x * 0.7)
8 = x + (7 + -0.7x)

Reorder the terms:
8 = 7 + x + -0.7x

Combine like terms: x + -0.7x = 0.3x
8 = 7 + 0.3x

Solving
8 = 7 + 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.
8 + -0.3x = 7 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
8 + -0.3x = 7 + 0.0
8 + -0.3x = 7

Add '-8' to each side of the equation.
8 + -8 + -0.3x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -0.3x = 7 + -8
-0.3x = 7 + -8

Combine like terms: 7 + -8 = -1
-0.3x = -1

Divide each side by '-0.3'.
x = 3.333333333

Simplifying
x = 3.333333333

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