5-7(2-x)=31-4(2x-5) help pls

x = 4

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

5 - 7(2 - x) = 31 - 4(2x - 5)

Step 2: Solve for x

Distribute:                              5 - 14 + 7x = 31 - 8x + 20Subtract/Add:                        -9 + 7x = -8x + 51Add 8x on both sides:          -9 + 15x = 51Add 9 to both sides:             15x = 60Divide 15 on both sides:       x = 4

Step 3: Check

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

Substitute in x:                    5 - 7(2 - 4) = 31 - 4(2(4) - 5)(Parenthesis) Multiply:        5 - 7(2 - 4) = 31 - 4(8 - 5)(Parenthesis) Subtract:       5 - 7(-2) = 31 - 4(3)Multiply:                               5 + 14 = 31 - 12Add/Subtract:                      19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 4 is the solution to the equation.

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