0.4(x+100)=0.48x-560

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Solution for 0.4(x+100)=0.48x-560 equation: 


Simplifying
0.4(x + 100) = 0.48x + -560

Reorder the terms:
0.4(100 + x) = 0.48x + -560
(100 * 0.4 + x * 0.4) = 0.48x + -560
(40 + 0.4x) = 0.48x + -560

Reorder the terms:
40 + 0.4x = -560 + 0.48x

Solving
40 + 0.4x = -560 + 0.48x

Solving for variable 'x'.

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

Add '-0.48x' to each side of the equation.
40 + 0.4x + -0.48x = -560 + 0.48x + -0.48x

Combine like terms: 0.4x + -0.48x = -0.08x
40 + -0.08x = -560 + 0.48x + -0.48x

Combine like terms: 0.48x + -0.48x = 0.00
40 + -0.08x = -560 + 0.00
40 + -0.08x = -560

Add '-40' to each side of the equation.
40 + -40 + -0.08x = -560 + -40

Combine like terms: 40 + -40 = 0
0 + -0.08x = -560 + -40
-0.08x = -560 + -40

Combine like terms: -560 + -40 = -600
-0.08x = -600

Divide each side by '-0.08'.
x = 7500

Simplifying
x = 7500

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