Question

14
14. Solve and check the solution 5-3 (5x+2)= 4 (7-3x)+1

Answer 1

Step-by-step explanation:

Simplifying

5 + -3(5x + 2) = 4(7 + -3x) + 1

Reorder the terms:

5 + -3(2 + 5x) = 4(7 + -3x) + 1

5 + (2 * -3 + 5x * -3) = 4(7 + -3x) + 1

5 + (-6 + -15x) = 4(7 + -3x) + 1

Combine like terms: 5 + -6 = -1

-1 + -15x = 4(7 + -3x) + 1

-1 + -15x = (7 * 4 + -3x * 4) + 1

-1 + -15x = (28 + -12x) + 1

Reorder the terms:

-1 + -15x = 28 + 1 + -12x

Combine like terms: 28 + 1 = 29

-1 + -15x = 29 + -12x

Solving

-1 + -15x = 29 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.

-1 + -15x + 12x = 29 + -12x + 12x

Combine like terms: -15x + 12x = -3x

-1 + -3x = 29 + -12x + 12x

Combine like terms: -12x + 12x = 0

-1 + -3x = 29 + 0

-1 + -3x = 29

Add '1' to each side of the equation.

-1 + 1 + -3x = 29 + 1

Combine like terms: -1 + 1 = 0

0 + -3x = 29 + 1

-3x = 29 + 1

Combine like terms: 29 + 1 = 30

-3x = 30

Divide each side by '-3'.

x = -10

Simplifying

x = -10