Solve x - 5 - 7x - 5x + 15 - 8 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$x-5-7x-5x+15-8$$

Evaluate

$2-11x$

Solution Steps

Combine $x$ and $-7x$ to get $-6x$.

$$-6x-5-5x+15-8$$

Combine $-6x$ and $-5x$ to get $-11x$.

$$-11x-5+15-8$$

Add $-5$ and $15$ to get $10$.

$$-11x+10-8$$

Subtract $8$ from $10$ to get $2$.

$$-11x+2$$

Differentiate w.r.t. x

$-11$

Steps Using Derivative Rule for Sum

Combine $x$ and $-7x$ to get $-6x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x-5-5x+15-8)$$

Combine $-6x$ and $-5x$ to get $-11x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-11x-5+15-8)$$

Add $-5$ and $15$ to get $10$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-11x+10-8)$$

Subtract $8$ from $10$ to get $2$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-11x+2)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.

$$-11x^{1-1}$$

Subtract $1$ from $1$.

$$-11x^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$-11$$