Solve -23.24-3.4x=-4.3-2.7(1.4x+6.1)

$$- 23.24 - 3.4 x = - 4.3 - 2.7 ( 1.4 x + 6.1 )$$

Solve for x

$$x=6.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2.7 by 1.4x+6.1.

$$-23.24-3.4x=-4.3-3.78x-16.47$$

Subtract 16.47 from -4.3 to get -20.77.

$$-23.24-3.4x=-20.77-3.78x$$

Add 3.78x to both sides.

$$-23.24-3.4x+3.78x=-20.77$$

Combine -3.4x and 3.78x to get 0.38x.

$$-23.24+0.38x=-20.77$$

Add 23.24 to both sides.

$$0.38x=-20.77+23.24$$

Add -20.77 and 23.24 to get 2.47.

$$0.38x=2.47$$

Divide both sides by 0.38.

$$x=\frac{2.47}{0.38}$$

Expand \frac{2.47}{0.38} by multiplying both numerator and the denominator by 100.

$$x=\frac{247}{38}$$

Reduce the fraction \frac{247}{38} to lowest terms by extracting and canceling out 19.

$$x=\frac{13}{2}$$