12x-(3x+4)-(2x+3)=42

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Solution for 12x-(3x+4)-(2x+3)=42 equation:


Simplifying
12x + -1(3x + 4) + -1(2x + 3) = 42

Reorder the terms:
12x + -1(4 + 3x) + -1(2x + 3) = 42
12x + (4 * -1 + 3x * -1) + -1(2x + 3) = 42
12x + (-4 + -3x) + -1(2x + 3) = 42

Reorder the terms:
12x + -4 + -3x + -1(3 + 2x) = 42
12x + -4 + -3x + (3 * -1 + 2x * -1) = 42
12x + -4 + -3x + (-3 + -2x) = 42

Reorder the terms:
-4 + -3 + 12x + -3x + -2x = 42

Combine like terms: -4 + -3 = -7
-7 + 12x + -3x + -2x = 42

Combine like terms: 12x + -3x = 9x
-7 + 9x + -2x = 42

Combine like terms: 9x + -2x = 7x
-7 + 7x = 42

Solving
-7 + 7x = 42

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 7x = 42 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 42 + 7
7x = 42 + 7

Combine like terms: 42 + 7 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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