0.7x+.03(40)=0.5(x+30)

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Solution for 0.7x+.03(40)=0.5(x+30) equation:


Simplifying
0.7x + 0.03(40) = 0.5(x + 30)

Multiply 0.03 * 40
0.7x + 1.2 = 0.5(x + 30)

Reorder the terms:
1.2 + 0.7x = 0.5(x + 30)

Reorder the terms:
1.2 + 0.7x = 0.5(30 + x)
1.2 + 0.7x = (30 * 0.5 + x * 0.5)
1.2 + 0.7x = (15 + 0.5x)

Solving
1.2 + 0.7x = 15 + 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.
1.2 + 0.7x + -0.5x = 15 + 0.5x + -0.5x

Combine like terms: 0.7x + -0.5x = 0.2x
1.2 + 0.2x = 15 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
1.2 + 0.2x = 15 + 0.0
1.2 + 0.2x = 15

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.2x = 15 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.2x = 15 + -1.2
0.2x = 15 + -1.2

Combine like terms: 15 + -1.2 = 13.8
0.2x = 13.8

Divide each side by '0.2'.
x = 69

Simplifying
x = 69

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