What’s the answer to

250 = 4(1 - 7x)

x = -123/14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

250 = 4(1 - 7x)

Step 2: Solve for x

Divide both sides by 4:                    125/2 = 1 - 7xSubtract 1 on both sides:                  123/2 = -7xDivide -7 on both sides:                   -123/14 = xRewrite:                                             x = -123/14

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    250 = 4(1 - 7(-123/14))(Parenthesis) Multiply:        250 = 4(1 + 123/2)(Parenthesis) Add:              250 = 4(125/2)Multiply:                               250 = 250

Here we see that 250 does indeed equal 250.

∴ x = -123/14 is the solution to the equation.

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