0.4(x+100)=0.02(2x+7)

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Solution for 0.4(x+100)=0.02(2x+7) equation: 


Simplifying
0.4(x + 100) = 0.02(2x + 7)

Reorder the terms:
0.4(100 + x) = 0.02(2x + 7)
(100 * 0.4 + x * 0.4) = 0.02(2x + 7)
(40 + 0.4x) = 0.02(2x + 7)

Reorder the terms:
40 + 0.4x = 0.02(7 + 2x)
40 + 0.4x = (7 * 0.02 + 2x * 0.02)
40 + 0.4x = (0.14 + 0.04x)

Solving
40 + 0.4x = 0.14 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
40 + 0.4x + -0.04x = 0.14 + 0.04x + -0.04x

Combine like terms: 0.4x + -0.04x = 0.36x
40 + 0.36x = 0.14 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
40 + 0.36x = 0.14 + 0.00
40 + 0.36x = 0.14

Add '-40' to each side of the equation.
40 + -40 + 0.36x = 0.14 + -40

Combine like terms: 40 + -40 = 0
0 + 0.36x = 0.14 + -40
0.36x = 0.14 + -40

Combine like terms: 0.14 + -40 = -39.86
0.36x = -39.86

Divide each side by '0.36'.
x = -110.7222222

Simplifying
x = -110.7222222

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