.1(7)+x=.3(7+x)

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Solution for .1(7)+x=.3(7+x) equation: 


Simplifying
0.1(7) + x = 0.3(7 + x)

Multiply 0.1 * 7
0.7 + x = 0.3(7 + x)
0.7 + x = (7 * 0.3 + x * 0.3)
0.7 + x = (2.1 + 0.3x)

Solving
0.7 + x = 2.1 + 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.
0.7 + x + -0.3x = 2.1 + 0.3x + -0.3x

Combine like terms: x + -0.3x = 0.7x
0.7 + 0.7x = 2.1 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.7 + 0.7x = 2.1 + 0.0
0.7 + 0.7x = 2.1

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.7x = 2.1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.7x = 2.1 + -0.7
0.7x = 2.1 + -0.7

Combine like terms: 2.1 + -0.7 = 1.4
0.7x = 1.4

Divide each side by '0.7'.
x = 2

Simplifying
x = 2

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