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3 years ago

10 (1/2x+2)-5=3(x-6)+1

Mathematics

1 answer:

gayaneshka [121]3 years ago

7 0

Answer:

x = -16

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

10(1/2x + 2) - 5 = 3(x - 6) + 1

Step 2: Solve for x

Distribute: 5x + 20 - 5 = 3x - 18 + 1
Combine like terms: 5x + 15 = 3x - 17
Subtract 3x on both sides: 2x + 15 = -17
Subtract 15 on both sides: 2x = -32
Divide 2 on both sides: x = -16

Step 3: Check

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

Substitute in x: 10(1/2(-16) + 2) - 5 = 3(-16 - 6) + 1
Multiply: 10(-8 + 2) - 5 = 3(-16 - 6) + 1
Add/Subtract: 10(-6) - 5 = 3(-22) + 1
Multiply: -60 - 5 = -66 + 1
Subtract/Add: -65 = -65

Here we see that -65 does indeed equal -65.

∴ x = -16 is the solution of the equation.

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Final answer:-

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