x+.7(30)=.6(30+x)

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Solution for x+.7(30)=.6(30+x) equation:


Simplifying
x + 0.7(30) = 0.6(30 + x)

Multiply 0.7 * 30
x + 21 = 0.6(30 + x)

Reorder the terms:
21 + x = 0.6(30 + x)
21 + x = (30 * 0.6 + x * 0.6)
21 + x = (18 + 0.6x)

Solving
21 + x = 18 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
21 + x + -0.6x = 18 + 0.6x + -0.6x

Combine like terms: x + -0.6x = 0.4x
21 + 0.4x = 18 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
21 + 0.4x = 18 + 0.0
21 + 0.4x = 18

Add '-21' to each side of the equation.
21 + -21 + 0.4x = 18 + -21

Combine like terms: 21 + -21 = 0
0 + 0.4x = 18 + -21
0.4x = 18 + -21

Combine like terms: 18 + -21 = -3
0.4x = -3

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

Simplifying
x = -7.5

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