0.30x+0.90(100)=0.40(x+100)

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Solution for 0.30x+0.90(100)=0.40(x+100) equation:


Simplifying
0.30x + 0.90(100) = 0.40(x + 100)

Multiply 0.90 * 100
0.30x + 90 = 0.40(x + 100)

Reorder the terms:
90 + 0.30x = 0.40(x + 100)

Reorder the terms:
90 + 0.30x = 0.40(100 + x)
90 + 0.30x = (100 * 0.40 + x * 0.40)
90 + 0.30x = (40 + 0.40x)

Solving
90 + 0.30x = 40 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
90 + 0.30x + -0.40x = 40 + 0.40x + -0.40x

Combine like terms: 0.30x + -0.40x = -0.1x
90 + -0.1x = 40 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
90 + -0.1x = 40 + 0.00
90 + -0.1x = 40

Add '-90' to each side of the equation.
90 + -90 + -0.1x = 40 + -90

Combine like terms: 90 + -90 = 0
0 + -0.1x = 40 + -90
-0.1x = 40 + -90

Combine like terms: 40 + -90 = -50
-0.1x = -50

Divide each side by '-0.1'.
x = 500

Simplifying
x = 500

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