Find the solution to each equation

Question

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

7(6 - 2x) = 5(-3x + 1)

 

2x + 3 = 0.5(6 + 4x)

-6x + 3 = -3(2x - 1)

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X=5

X=1

Has an infinite solutions

X=-37

Has no solution

Answer 1

(x + 4) - 3x = 1+ x get rid of your parenthesis and combine your like terms

4 - 2x = 1 + x subtract x from both sides

4 - 3x = 1 subtract 4 from both sides

-3x = -3 divide by -3

x = 1

7(6 - 2x) = 5(-3x + 1) get rid of your parenthesis

42 - 14x = - 15x + 5 add 15x to both sides

42 + x = 5 subtract 42 from both sides

x = - 37

2x + 3 = 0.5(6 + 4x) get rid of parenthesis

2x + 3 = 3 + 2x no matter what x is equal to, this equation will ALWAYS be true

infinite solutions

-6x + 3 = -3(2x - 1) get rid of parenthesis

-6x + 3 = -6x + 3 again, both sides of your equation are exactly the same so there are infinite solutions.