Solve 1=5/4+9x-4xdiv2(5-25)

$$1 = \frac { 5 } { 4 } + 9 x - 4 x \div 2 ( 5 - 25 )$$

Solve for x

$$x=-\frac{1}{196}\approx -0.005102041$$

Steps for Solving Linear Equation

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

$$4=4\left(\frac{5}{4}+9x\right)-2\times 4x\left(5-25\right)$$

Use the distributive property to multiply 4 by \frac{5}{4}+9x.

$$4=4\times \frac{5}{4}+36x-2\times 4x\left(5-25\right)$$

Cancel out 4 and 4.

$$4=5+36x-2\times 4x\left(5-25\right)$$

Multiply 2 and 4 to get 8.

$$4=5+36x-8x\left(5-25\right)$$

Subtract 25 from 5 to get -20.

$$4=5+36x-8x\left(-20\right)$$

Multiply 8 and -20 to get -160.

$$4=5+36x-\left(-160x\right)$$

The opposite of -160x is 160x.

$$4=5+36x+160x$$

Combine 36x and 160x to get 196x.

$$4=5+196x$$

Swap sides so that all variable terms are on the left hand side.

$$5+196x=4$$

Subtract 5 from both sides.

$$196x=4-5$$

Subtract 5 from 4 to get -1.

$$196x=-1$$

Divide both sides by 196.

$$x=\frac{-1}{196}$$

Fraction \frac{-1}{196} can be rewritten as -\frac{1}{196} by extracting the negative sign.

$$x=-\frac{1}{196}$$