Solve 5(2x-3)-2(4x-7)=4(x+10)

$$5 ( 2 x - 3 ) - 2 ( 4 x - 7 ) = 4 ( x + 10 )$$

Solve for x

$$x = -\frac{41}{2} = -20\frac{1}{2} = -20.5$$

Steps for Solving Linear Equation

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

$$10x-15-2\left(4x-7\right)=4\left(x+10\right)$$

Use the distributive property to multiply -2 by 4x-7.

$$10x-15-8x+14=4\left(x+10\right)$$

Combine 10x and -8x to get 2x.

$$2x-15+14=4\left(x+10\right)$$

Add -15 and 14 to get -1.

$$2x-1=4\left(x+10\right)$$

Use the distributive property to multiply 4 by x+10.

$$2x-1=4x+40$$

Subtract 4x from both sides.

$$2x-1-4x=40$$

Combine 2x and -4x to get -2x.

$$-2x-1=40$$

Add 1 to both sides.

$$-2x=40+1$$

Add 40 and 1 to get 41.

$$-2x=41$$

Divide both sides by -2.

$$x=\frac{41}{-2}$$

Fraction \frac{41}{-2} can be rewritten as -\frac{41}{2} by extracting the negative sign.

$$x=-\frac{41}{2}$$