Solve 3left(2x-5right)+8x-6=x/2-(5x+3

$$3 \left( 2x-5 \right) +8x-6 = \frac{ x }{ 2 } -(5x+3$$

Solve for x

$$x=\frac{36}{37}\approx 0.972972973$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$6\left(2x-5\right)+16x-12=x-2\left(5x+3\right)$$

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

$$12x-30+16x-12=x-2\left(5x+3\right)$$

Combine 12x and 16x to get 28x.

$$28x-30-12=x-2\left(5x+3\right)$$

Subtract 12 from -30 to get -42.

$$28x-42=x-2\left(5x+3\right)$$

Use the distributive property to multiply -2 by 5x+3.

$$28x-42=x-10x-6$$

Combine x and -10x to get -9x.

$$28x-42=-9x-6$$

Add 9x to both sides.

$$28x-42+9x=-6$$

Combine 28x and 9x to get 37x.

$$37x-42=-6$$

Add 42 to both sides.

$$37x=-6+42$$

Add -6 and 42 to get 36.

$$37x=36$$

Divide both sides by 37.

$$x=\frac{36}{37}$$