Solve 2d-0,5(4d-1)=-0,7(d-2)

$$2 d - 0,5 ( 4 d - 1 ) = - 0,7 ( d - 2 )$$

Solve for d

$$d=\frac{9}{7}\approx 1,285714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0,5 by 4d-1.

$$2d-2d+0,5=-0,7\left(d-2\right)$$

Combine 2d and -2d to get 0.

$$0,5=-0,7\left(d-2\right)$$

Use the distributive property to multiply -0,7 by d-2.

$$0,5=-0,7d+1,4$$

Swap sides so that all variable terms are on the left hand side.

$$-0,7d+1,4=0,5$$

Subtract 1,4 from both sides.

$$-0,7d=0,5-1,4$$

Subtract 1,4 from 0,5 to get -0,9.

$$-0,7d=-0,9$$

Divide both sides by -0,7.

$$d=\frac{-0,9}{-0,7}$$

Expand \frac{-0,9}{-0,7} by multiplying both numerator and the denominator by 10.

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

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

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