Solve 5x-4[2-(6-7x)]=2x

$$5 x - 4 [ 2 - ( 6 - 7 x ) ] = 2 x$$

Solve for x

$$x=\frac{16}{25}=0.64$$

Steps for Solving Linear Equation

To find the opposite of 6-7x, find the opposite of each term.

$$5x-4\left(2-6-\left(-7x\right)\right)=2x$$

The opposite of -7x is 7x.

$$5x-4\left(2-6+7x\right)=2x$$

Subtract 6 from 2 to get -4.

$$5x-4\left(-4+7x\right)=2x$$

Use the distributive property to multiply -4 by -4+7x.

$$5x+16-28x=2x$$

Combine 5x and -28x to get -23x.

$$-23x+16=2x$$

Subtract 2x from both sides.

$$-23x+16-2x=0$$

Combine -23x and -2x to get -25x.

$$-25x+16=0$$

Subtract 16 from both sides. Anything subtracted from zero gives its negation.

$$-25x=-16$$

Divide both sides by -25.

$$x=\frac{-16}{-25}$$

Fraction \frac{-16}{-25} can be simplified to \frac{16}{25} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{16}{25}$$