Solve 2x-1=2(6x-5)+4(5/2-3x)

$$2 x - 1 = 2 ( 6 x - 5 ) + 4 ( 5 / 2 - 3 x )$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 6x-5.

$$2x-1=12x-10+4\left(\frac{5}{2}-3x\right)$$

Use the distributive property to multiply 4 by \frac{5}{2}-3x.

$$2x-1=12x-10+4\times \frac{5}{2}-12x$$

Express 4\times \frac{5}{2} as a single fraction.

$$2x-1=12x-10+\frac{4\times 5}{2}-12x$$

Multiply 4 and 5 to get 20.

$$2x-1=12x-10+\frac{20}{2}-12x$$

Divide 20 by 2 to get 10.

$$2x-1=12x-10+10-12x$$

Add -10 and 10 to get 0.

$$2x-1=12x-12x$$

Combine 12x and -12x to get 0.

$$2x-1=0$$

Add 1 to both sides. Anything plus zero gives itself.

$$2x=1$$

Divide both sides by 2.

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