Solve 7(5-2x)=2(76-5x)

$$7 ( 5 - 2 x ) = 2 ( 76 - 5 x )$$

Solve for x

$$x = -\frac{117}{4} = -29\frac{1}{4} = -29.25$$

Steps for Solving Linear Equation

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

$$35-14x=2\left(76-5x\right)$$

Use the distributive property to multiply 2 by 76-5x.

$$35-14x=152-10x$$

Add 10x to both sides.

$$35-14x+10x=152$$

Combine -14x and 10x to get -4x.

$$35-4x=152$$

Subtract 35 from both sides.

$$-4x=152-35$$

Subtract 35 from 152 to get 117.

$$-4x=117$$

Divide both sides by -4.

$$x=\frac{117}{-4}$$

Fraction \frac{117}{-4} can be rewritten as -\frac{117}{4} by extracting the negative sign.

$$x=-\frac{117}{4}$$