Solve for x.
-(5 – 8x)+4x = -89

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

-(5 - 8x) + 4x = -89

Step 2: Solve for x

Distribute negative:                    -5 + 8x + 4x = -89Combine like terms:                   -5 + 12x = -89Isolate x term:                             12x = -84Isolate x:                                      x = -7

Step 3: Check

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

Substitute in x:                    -(5 - 8(-7)) + 4(-7) = -89Multiply:                               -(5 + 56) - 28 = -89Add:                                     -61 - 28 = -89Subtract:                              -89 = -89

Here we see that -89 does indeed equal -89.

∴ x = -7 is the solution to the equation.

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