.38(8x-24)=.34(12x+16)

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Solution for .38(8x-24)=.34(12x+16) equation: 


Simplifying
0.38(8x + -24) = 0.34(12x + 16)

Reorder the terms:
0.38(-24 + 8x) = 0.34(12x + 16)
(-24 * 0.38 + 8x * 0.38) = 0.34(12x + 16)
(-9.12 + 3.04x) = 0.34(12x + 16)

Reorder the terms:
-9.12 + 3.04x = 0.34(16 + 12x)
-9.12 + 3.04x = (16 * 0.34 + 12x * 0.34)
-9.12 + 3.04x = (5.44 + 4.08x)

Solving
-9.12 + 3.04x = 5.44 + 4.08x

Solving for variable 'x'.

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

Add '-4.08x' to each side of the equation.
-9.12 + 3.04x + -4.08x = 5.44 + 4.08x + -4.08x

Combine like terms: 3.04x + -4.08x = -1.04x
-9.12 + -1.04x = 5.44 + 4.08x + -4.08x

Combine like terms: 4.08x + -4.08x = 0.00
-9.12 + -1.04x = 5.44 + 0.00
-9.12 + -1.04x = 5.44

Add '9.12' to each side of the equation.
-9.12 + 9.12 + -1.04x = 5.44 + 9.12

Combine like terms: -9.12 + 9.12 = 0.00
0.00 + -1.04x = 5.44 + 9.12
-1.04x = 5.44 + 9.12

Combine like terms: 5.44 + 9.12 = 14.56
-1.04x = 14.56

Divide each side by '-1.04'.
x = -14

Simplifying
x = -14

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