0.7x+0.4(30)=0.5(x+10)

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Solution for 0.7x+0.4(30)=0.5(x+10) equation: 


Simplifying
0.7x + 0.4(30) = 0.5(x + 10)

Multiply 0.4 * 30
0.7x + 12 = 0.5(x + 10)

Reorder the terms:
12 + 0.7x = 0.5(x + 10)

Reorder the terms:
12 + 0.7x = 0.5(10 + x)
12 + 0.7x = (10 * 0.5 + x * 0.5)
12 + 0.7x = (5 + 0.5x)

Solving
12 + 0.7x = 5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
12 + 0.7x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: 0.7x + -0.5x = 0.2x
12 + 0.2x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
12 + 0.2x = 5 + 0.0
12 + 0.2x = 5

Add '-12' to each side of the equation.
12 + -12 + 0.2x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 0.2x = 5 + -12
0.2x = 5 + -12

Combine like terms: 5 + -12 = -7
0.2x = -7

Divide each side by '0.2'.
x = -35

Simplifying
x = -35

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