Solve -2(5x+3)+5(7-2x)=0

$$- 2 ( 5 x + 3 ) + 5 ( 7 - 2 x ) = 0$$

Solve for x

$$x = \frac{29}{20} = 1\frac{9}{20} = 1.45$$

Steps for Solving Linear Equation

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

$$-10x-6+5\left(7-2x\right)=0$$

Use the distributive property to multiply 5 by 7-2x.

$$-10x-6+35-10x=0$$

Add -6 and 35 to get 29.

$$-10x+29-10x=0$$

Combine -10x and -10x to get -20x.

$$-20x+29=0$$

Subtract 29 from both sides. Anything subtracted from zero gives its negation.

$$-20x=-29$$

Divide both sides by -20.

$$x=\frac{-29}{-20}$$

Fraction \frac{-29}{-20} can be simplified to \frac{29}{20} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{29}{20}$$