Solve 1-4(5x-1)=6+7(12-10x)

$$1 - 4 ( 5 x - 1 ) = 6 + 7 ( 12 - 10 x )$$

Solve for x

$$x = \frac{17}{10} = 1\frac{7}{10} = 1.7$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 5x-1.

$$1-20x+4=6+7\left(12-10x\right)$$

Add 1 and 4 to get 5.

$$5-20x=6+7\left(12-10x\right)$$

Use the distributive property to multiply 7 by 12-10x.

$$5-20x=6+84-70x$$

Add 6 and 84 to get 90.

$$5-20x=90-70x$$

Add 70x to both sides.

$$5-20x+70x=90$$

Combine -20x and 70x to get 50x.

$$5+50x=90$$

Subtract 5 from both sides.

$$50x=90-5$$

Subtract 5 from 90 to get 85.

$$50x=85$$

Divide both sides by 50.

$$x=\frac{85}{50}$$

Reduce the fraction \frac{85}{50} to lowest terms by extracting and canceling out 5.

$$x=\frac{17}{10}$$