Solve 7-6(x-1)=7x-(1-6x)

$$7 - 6 ( x - 1 ) = 7 x - ( 1 - 6 x )$$

Solve for x

$$x=\frac{14}{19}\approx 0.736842105$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by x-1.

$$7-6x+6=7x-\left(1-6x\right)$$

Add 7 and 6 to get 13.

$$13-6x=7x-\left(1-6x\right)$$

To find the opposite of 1-6x, find the opposite of each term.

$$13-6x=7x-1-\left(-6x\right)$$

The opposite of -6x is 6x.

$$13-6x=7x-1+6x$$

Combine 7x and 6x to get 13x.

$$13-6x=13x-1$$

Subtract 13x from both sides.

$$13-6x-13x=-1$$

Combine -6x and -13x to get -19x.

$$13-19x=-1$$

Subtract 13 from both sides.

$$-19x=-1-13$$

Subtract 13 from -1 to get -14.

$$-19x=-14$$

Divide both sides by -19.

$$x=\frac{-14}{-19}$$

Fraction \frac{-14}{-19} can be simplified to \frac{14}{19} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{14}{19}$$