Solve 2.6(0.4x-1.4)=-3.9(1.2x-0.9)

$$2.6(0.4x-1.4)=-3.9(1.2x-0.9)$$

Solve for x

$$x=1.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2.6 by 0.4x-1.4.

$$1.04x-3.64=-3.9\left(1.2x-0.9\right)$$

Use the distributive property to multiply -3.9 by 1.2x-0.9.

$$1.04x-3.64=-4.68x+3.51$$

Add 4.68x to both sides.

$$1.04x-3.64+4.68x=3.51$$

Combine 1.04x and 4.68x to get 5.72x.

$$5.72x-3.64=3.51$$

Add 3.64 to both sides.

$$5.72x=3.51+3.64$$

Add 3.51 and 3.64 to get 7.15.

$$5.72x=7.15$$

Divide both sides by 5.72.

$$x=\frac{7.15}{5.72}$$

Expand \frac{7.15}{5.72} by multiplying both numerator and the denominator by 100.

$$x=\frac{715}{572}$$

Reduce the fraction \frac{715}{572} to lowest terms by extracting and canceling out 143.

$$x=\frac{5}{4}$$