0.4(25x-35)=0.63(16x-24)

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Solution for 0.4(25x-35)=0.63(16x-24) equation: 


Simplifying
0.4(25x + -35) = 0.63(16x + -24)

Reorder the terms:
0.4(-35 + 25x) = 0.63(16x + -24)
(-35 * 0.4 + 25x * 0.4) = 0.63(16x + -24)
(-14 + 10x) = 0.63(16x + -24)

Reorder the terms:
-14 + 10x = 0.63(-24 + 16x)
-14 + 10x = (-24 * 0.63 + 16x * 0.63)
-14 + 10x = (-15.12 + 10.08x)

Solving
-14 + 10x = -15.12 + 10.08x

Solving for variable 'x'.

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

Add '-10.08x' to each side of the equation.
-14 + 10x + -10.08x = -15.12 + 10.08x + -10.08x

Combine like terms: 10x + -10.08x = -0.08x
-14 + -0.08x = -15.12 + 10.08x + -10.08x

Combine like terms: 10.08x + -10.08x = 0.00
-14 + -0.08x = -15.12 + 0.00
-14 + -0.08x = -15.12

Add '14' to each side of the equation.
-14 + 14 + -0.08x = -15.12 + 14

Combine like terms: -14 + 14 = 0
0 + -0.08x = -15.12 + 14
-0.08x = -15.12 + 14

Combine like terms: -15.12 + 14 = -1.12
-0.08x = -1.12

Divide each side by '-0.08'.
x = 14

Simplifying
x = 14

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