Solve 7-3(2x-5)/4=1/2(4x-7)

$$7 - 3 \frac { ( 2 x - 5 ) } { 4 } = \frac { 1 } { 2 } ( 4 x - 7 )$$

Solve for x

$$x = \frac{57}{14} = 4\frac{1}{14} \approx 4.071428571$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$28-3\left(2x-5\right)=2\left(4x-7\right)$$

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

$$28-6x+15=2\left(4x-7\right)$$

Add 28 and 15 to get 43.

$$43-6x=2\left(4x-7\right)$$

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

$$43-6x=8x-14$$

Subtract 8x from both sides.

$$43-6x-8x=-14$$

Combine -6x and -8x to get -14x.

$$43-14x=-14$$

Subtract 43 from both sides.

$$-14x=-14-43$$

Subtract 43 from -14 to get -57.

$$-14x=-57$$

Divide both sides by -14.

$$x=\frac{-57}{-14}$$

Fraction \frac{-57}{-14} can be simplified to \frac{57}{14} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{57}{14}$$