0.24(6)+0.4x=0.08(36+x)

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Solution for 0.24(6)+0.4x=0.08(36+x) equation: 


Simplifying
0.24(6) + 0.4x = 0.08(36 + x)

Multiply 0.24 * 6
1.44 + 0.4x = 0.08(36 + x)
1.44 + 0.4x = (36 * 0.08 + x * 0.08)
1.44 + 0.4x = (2.88 + 0.08x)

Solving
1.44 + 0.4x = 2.88 + 0.08x

Solving for variable 'x'.

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

Add '-0.08x' to each side of the equation.
1.44 + 0.4x + -0.08x = 2.88 + 0.08x + -0.08x

Combine like terms: 0.4x + -0.08x = 0.32x
1.44 + 0.32x = 2.88 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
1.44 + 0.32x = 2.88 + 0.00
1.44 + 0.32x = 2.88

Add '-1.44' to each side of the equation.
1.44 + -1.44 + 0.32x = 2.88 + -1.44

Combine like terms: 1.44 + -1.44 = 0.00
0.00 + 0.32x = 2.88 + -1.44
0.32x = 2.88 + -1.44

Combine like terms: 2.88 + -1.44 = 1.44
0.32x = 1.44

Divide each side by '0.32'.
x = 4.5

Simplifying
x = 4.5

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