What value of x makes the equation true?
3(4x-5)-4x+1=-6
Please show work

x = 1

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

3(4x - 5) - 4x + 1 = -6

Step 2: Solve for x

Distribute 3:                    12x - 15 - 4x + 1 = -6Combine like terms:       8x - 14 = -6Isolate x term:                 8x = 8Isolate x:                          x = 1

Step 3: Check

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

Substitute in x:                    3(4(1) - 5) - 4(1) + 1 = -6Multiply:                               3(4 - 5) - 4 + 1 = -6Subtract:                              3(-1) - 4 + 1 = -6Multiply:                               -3 - 4 + 1 = -6Subtract:                              -7 + 1 = -6Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

a = 49°

Step-by-step explanation:

OB = OC ( both radii of the circle ), thus

Δ BOC is isosceles and the base angles are congruent, that is

∠ OBC = ∠ OCB = 41° , so

∠ BOC = 180° - (2 × 41)° = 180° - 82° = 98°

The angle on the circumference BAC is half the angle at the centre for angles subtended on the same arc , thus

a = 0.5 × 98° = 49°