.1(7)+x=.2(7+x)

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Solution for .1(7)+x=.2(7+x) equation: 


Simplifying
0.1(7) + x = 0.2(7 + x)

Multiply 0.1 * 7
0.7 + x = 0.2(7 + x)
0.7 + x = (7 * 0.2 + x * 0.2)
0.7 + x = (1.4 + 0.2x)

Solving
0.7 + x = 1.4 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.7 + x + -0.2x = 1.4 + 0.2x + -0.2x

Combine like terms: x + -0.2x = 0.8x
0.7 + 0.8x = 1.4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.7 + 0.8x = 1.4 + 0.0
0.7 + 0.8x = 1.4

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.8x = 1.4 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.8x = 1.4 + -0.7
0.8x = 1.4 + -0.7

Combine like terms: 1.4 + -0.7 = 0.7
0.8x = 0.7

Divide each side by '0.8'.
x = 0.875

Simplifying
x = 0.875

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