Solve x+(10-2x)=5-2(3-4x)

$$x + ( 10 - 2 x ) = 5 - 2 ( 3 - 4 x )$$

Solve for x

$$x = \frac{11}{9} = 1\frac{2}{9} \approx 1.222222222$$

Steps for Solving Linear Equation

Combine x and -2x to get -x.

$$-x+10=5-2\left(3-4x\right)$$

Use the distributive property to multiply -2 by 3-4x.

$$-x+10=5-6+8x$$

Subtract 6 from 5 to get -1.

$$-x+10=-1+8x$$

Subtract 8x from both sides.

$$-x+10-8x=-1$$

Combine -x and -8x to get -9x.

$$-9x+10=-1$$

Subtract 10 from both sides.

$$-9x=-1-10$$

Subtract 10 from -1 to get -11.

$$-9x=-11$$

Divide both sides by -9.

$$x=\frac{-11}{-9}$$

Fraction \frac{-11}{-9} can be simplified to \frac{11}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{9}$$