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

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Solution for 3(x+3)+4(2+x)-3=(7x)x equation:


Simplifying
3(x + 3) + 4(2 + x) + -3 = (7x) * x

Reorder the terms:
3(3 + x) + 4(2 + x) + -3 = (7x) * x
(3 * 3 + x * 3) + 4(2 + x) + -3 = (7x) * x
(9 + 3x) + 4(2 + x) + -3 = (7x) * x
9 + 3x + (2 * 4 + x * 4) + -3 = (7x) * x
9 + 3x + (8 + 4x) + -3 = (7x) * x

Reorder the terms:
9 + 8 + -3 + 3x + 4x = (7x) * x

Combine like terms: 9 + 8 = 17
17 + -3 + 3x + 4x = (7x) * x

Combine like terms: 17 + -3 = 14
14 + 3x + 4x = (7x) * x

Combine like terms: 3x + 4x = 7x
14 + 7x = (7x) * x

Remove parenthesis around (7x)
14 + 7x = 7x * x

Multiply x * x
14 + 7x = 7x2

Solving
14 + 7x = 7x2

Solving for variable 'x'.

Combine like terms: 7x2 + -7x2 = 0
14 + 7x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(2 + x + -1x2) = 0

Factor a trinomial.
7((2 + -1x)(1 + x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {2, -1}

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