.4x+.6(400)=.7(400+x)

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Solution for .4x+.6(400)=.7(400+x) equation:


Simplifying
0.4x + 0.6(400) = 0.7(400 + x)

Multiply 0.6 * 400
0.4x + 240 = 0.7(400 + x)

Reorder the terms:
240 + 0.4x = 0.7(400 + x)
240 + 0.4x = (400 * 0.7 + x * 0.7)
240 + 0.4x = (280 + 0.7x)

Solving
240 + 0.4x = 280 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
240 + 0.4x + -0.7x = 280 + 0.7x + -0.7x

Combine like terms: 0.4x + -0.7x = -0.3x
240 + -0.3x = 280 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
240 + -0.3x = 280 + 0.0
240 + -0.3x = 280

Add '-240' to each side of the equation.
240 + -240 + -0.3x = 280 + -240

Combine like terms: 240 + -240 = 0
0 + -0.3x = 280 + -240
-0.3x = 280 + -240

Combine like terms: 280 + -240 = 40
-0.3x = 40

Divide each side by '-0.3'.
x = -133.3333333

Simplifying
x = -133.3333333

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