Solve 3x-1+7=8x-(3-2x)

$$3x-1+7=8x-(3-2x)$$

Solve for x

$$x = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286$$

Steps for Solving Linear Equation

Add -1 and 7 to get 6.

$$3x+6=8x-\left(3-2x\right)$$

To find the opposite of 3-2x, find the opposite of each term.

$$3x+6=8x-3-\left(-2x\right)$$

The opposite of -2x is 2x.

$$3x+6=8x-3+2x$$

Combine 8x and 2x to get 10x.

$$3x+6=10x-3$$

Subtract 10x from both sides.

$$3x+6-10x=-3$$

Combine 3x and -10x to get -7x.

$$-7x+6=-3$$

Subtract 6 from both sides.

$$-7x=-3-6$$

Subtract 6 from -3 to get -9.

$$-7x=-9$$

Divide both sides by -7.

$$x=\frac{-9}{-7}$$

Fraction \frac{-9}{-7} can be simplified to \frac{9}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{7}$$