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3 years ago

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

Mathematics

1 answer:

Harman [31]3 years ago

3 0

Answer:

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 + 20
Subtract/Add: -9 + 7x = -8x + 51
Add 8x on both sides: -9 + 15x = 51
Add 9 to both sides: 15x = 60
Divide 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 - 12
Add/Subtract: 19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 4 is the solution to the equation.

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Step-by-step explanation:

From the given information:

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(1)

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i.e

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