Solve 4x+(11x-19)-(13x-15)=25-(17-15x)

$$4x+(11x-19)-(13x-15) = 25-(17-15x)$$

Solve for x

$$x=-\frac{12}{13}\approx -0.923076923$$

Steps for Solving Linear Equation

Combine 4x and 11x to get 15x.

$$15x-19-\left(13x-15\right)=25-\left(17-15x\right)$$

To find the opposite of 13x-15, find the opposite of each term.

$$15x-19-13x-\left(-15\right)=25-\left(17-15x\right)$$

The opposite of -15 is 15.

$$15x-19-13x+15=25-\left(17-15x\right)$$

Combine 15x and -13x to get 2x.

$$2x-19+15=25-\left(17-15x\right)$$

Add -19 and 15 to get -4.

$$2x-4=25-\left(17-15x\right)$$

To find the opposite of 17-15x, find the opposite of each term.

$$2x-4=25-17-\left(-15x\right)$$

The opposite of -15x is 15x.

$$2x-4=25-17+15x$$

Subtract 17 from 25 to get 8.

$$2x-4=8+15x$$

Subtract 15x from both sides.

$$2x-4-15x=8$$

Combine 2x and -15x to get -13x.

$$-13x-4=8$$

Add 4 to both sides.

$$-13x=8+4$$

Add 8 and 4 to get 12.

$$-13x=12$$

Divide both sides by -13.

$$x=\frac{12}{-13}$$

Fraction \frac{12}{-13} can be rewritten as -\frac{12}{13} by extracting the negative sign.

$$x=-\frac{12}{13}$$