Solve 3x-0,4/2+1,5-2x/3=x+6,5/5

$$\frac { 3 x - 0,4 } { 2 } + \frac { 1,5 - 2 x } { 3 } = \frac { x + 6,5 } { 5 }$$

Solve for x

$$x=\frac{30}{19}\approx 1,578947368$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 2;3;5.

$$15\left(3x-0,4\right)+10\left(1,5-2x\right)=6\left(x+6,5\right)$$

Use the distributive property to multiply 15 by 3x-0,4.

$$45x-6+10\left(1,5-2x\right)=6\left(x+6,5\right)$$

Use the distributive property to multiply 10 by 1,5-2x.

$$45x-6+15-20x=6\left(x+6,5\right)$$

Add -6 and 15 to get 9.

$$45x+9-20x=6\left(x+6,5\right)$$

Combine 45x and -20x to get 25x.

$$25x+9=6\left(x+6,5\right)$$

Use the distributive property to multiply 6 by x+6,5.

$$25x+9=6x+39$$

Subtract 6x from both sides.

$$25x+9-6x=39$$

Combine 25x and -6x to get 19x.

$$19x+9=39$$

Subtract 9 from both sides.

$$19x=39-9$$

Subtract 9 from 39 to get 30.

$$19x=30$$

Divide both sides by 19.

$$x=\frac{30}{19}$$