Solve (4)^22(2x-1)/0.01-2.5=0.220x/0.2-3.5

$$( 4 ) ^ { 2 } \frac { 2 ( 2 x - 1 ) } { 0.01 } - 2.5 = \frac { 0.220 x } { 0.2 } - 3.5$$

Solve for x

$$x=\frac{31990}{63989}\approx 0.499929675$$

Steps for Solving Linear Equation

Calculate 4 to the power of 2 and get 16.

$$16\times \frac{2\left(2x-1\right)}{0.01}-2.5=\frac{0.22x}{0.2}-3.5$$

Use the distributive property to multiply 2 by 2x-1.

$$16\times \frac{4x-2}{0.01}-2.5=\frac{0.22x}{0.2}-3.5$$

Divide 0.22x by 0.2 to get 1.1x.

$$16\times \frac{4x-2}{0.01}-2.5=1.1x-3.5$$

Divide each term of 4x-2 by 0.01 to get \frac{4x}{0.01}+\frac{-2}{0.01}.

$$16\left(\frac{4x}{0.01}+\frac{-2}{0.01}\right)-2.5=1.1x-3.5$$

Divide 4x by 0.01 to get 400x.

$$16\left(400x+\frac{-2}{0.01}\right)-2.5=1.1x-3.5$$

Expand \frac{-2}{0.01} by multiplying both numerator and the denominator by 100. Anything divided by one gives itself.

$$16\left(400x-200\right)-2.5=1.1x-3.5$$

Use the distributive property to multiply 16 by 400x-200.

$$6400x-3200-2.5=1.1x-3.5$$

Subtract 2.5 from -3200 to get -3202.5.

$$6400x-3202.5=1.1x-3.5$$

Subtract 1.1x from both sides.

$$6400x-3202.5-1.1x=-3.5$$

Combine 6400x and -1.1x to get 6398.9x.

$$6398.9x-3202.5=-3.5$$

Add 3202.5 to both sides.

$$6398.9x=-3.5+3202.5$$

Add -3.5 and 3202.5 to get 3199.

$$6398.9x=3199$$

Divide both sides by 6398.9.

$$x=\frac{3199}{6398.9}$$

Expand \frac{3199}{6398.9} by multiplying both numerator and the denominator by 10.

$$x=\frac{31990}{63989}$$