Solve -7(49)2(x-1)=2.5

$$- 7 ( 49 ) 2 ( x - 1 ) = 2.5$$

Solve for x

$$x=\frac{1367}{1372}\approx 0.996355685$$

Steps for Solving Linear Equation

Multiply -7 and 49 to get -343.

$$-343\times 2\left(x-1\right)=2.5$$

Multiply -343 and 2 to get -686.

$$-686\left(x-1\right)=2.5$$

Use the distributive property to multiply -686 by x-1.

$$-686x+686=2.5$$

Subtract 686 from both sides.

$$-686x=2.5-686$$

Subtract 686 from 2.5 to get -683.5.

$$-686x=-683.5$$

Divide both sides by -686.

$$x=\frac{-683.5}{-686}$$

Expand \frac{-683.5}{-686} by multiplying both numerator and the denominator by 10.

$$x=\frac{-6835}{-6860}$$

Reduce the fraction \frac{-6835}{-6860} to lowest terms by extracting and canceling out -5.

$$x=\frac{1367}{1372}$$