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

$$5 \times 5 ( 2 x + 1 ) = - 3 ( 4 x + 5 )$$

Solve for x

$$x=-\frac{20}{31}\approx -0.64516129$$

Steps for Solving Linear Equation

Multiply 5 and 5 to get 25.

$$25\left(2x+1\right)=-3\left(4x+5\right)$$

Use the distributive property to multiply 25 by 2x+1.

$$50x+25=-3\left(4x+5\right)$$

Use the distributive property to multiply -3 by 4x+5.

$$50x+25=-12x-15$$

Add 12x to both sides.

$$50x+25+12x=-15$$

Combine 50x and 12x to get 62x.

$$62x+25=-15$$

Subtract 25 from both sides.

$$62x=-15-25$$

Subtract 25 from -15 to get -40.

$$62x=-40$$

Divide both sides by 62.

$$x=\frac{-40}{62}$$

Reduce the fraction \frac{-40}{62} to lowest terms by extracting and canceling out 2.

$$x=-\frac{20}{31}$$