Question

7x + 5 = 3(x - 4) + 1​

Answer 1

Step-by-step explanation:

Simplifying

7x + -5 = 3x + 4

Reorder the terms:

-5 + 7x = 3x + 4

Reorder the terms:

-5 + 7x = 4 + 3x

Solving

-5 + 7x = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-5 + 7x + -3x = 4 + 3x + -3x

Combine like terms: 7x + -3x = 4x

-5 + 4x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0

-5 + 4x = 4 + 0

-5 + 4x = 4

Add '5' to each side of the equation.

-5 + 5 + 4x = 4 + 5

Combine like terms: -5 + 5 = 0

0 + 4x = 4 + 5

4x = 4 + 5

Combine like terms: 4 + 5 = 9

4x = 9

Divide each side by '4'.

x = 2.25

Simplifying

x = 2.25

Answer 2

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