Solve x-(4-2x)=7(x-1)

$$x - ( 4 - 2 x ) = 7 ( x - 1 )$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

To find the opposite of 4-2x, find the opposite of each term.

$$x-4-\left(-2x\right)=7\left(x-1\right)$$

The opposite of -2x is 2x.

$$x-4+2x=7\left(x-1\right)$$

Combine x and 2x to get 3x.

$$3x-4=7\left(x-1\right)$$

Use the distributive property to multiply 7 by x-1.

$$3x-4=7x-7$$

Subtract 7x from both sides.

$$3x-4-7x=-7$$

Combine 3x and -7x to get -4x.

$$-4x-4=-7$$

Add 4 to both sides.

$$-4x=-7+4$$

Add -7 and 4 to get -3.

$$-4x=-3$$

Divide both sides by -4.

$$x=\frac{-3}{-4}$$

Fraction \frac{-3}{-4} can be simplified to \frac{3}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{4}$$