Solve 2.5x-3.4(2-3x)=x:2-12.9

$$2.5 x - 3.4 ( 2 - 3 x ) = x : 2 - 12.9$$

Solve for x

$$x=-0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$5x-6.8\left(2-3x\right)=x-25.8$$

Use the distributive property to multiply -6.8 by 2-3x.

$$5x-13.6+20.4x=x-25.8$$

Combine 5x and 20.4x to get 25.4x.

$$25.4x-13.6=x-25.8$$

Subtract x from both sides.

$$25.4x-13.6-x=-25.8$$

Combine 25.4x and -x to get 24.4x.

$$24.4x-13.6=-25.8$$

Add 13.6 to both sides.

$$24.4x=-25.8+13.6$$

Add -25.8 and 13.6 to get -12.2.

$$24.4x=-12.2$$

Divide both sides by 24.4.

$$x=\frac{-12.2}{24.4}$$

Expand \frac{-12.2}{24.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-122}{244}$$

Reduce the fraction \frac{-122}{244} to lowest terms by extracting and canceling out 122.

$$x=-\frac{1}{2}$$