-4(x+3)=-7x-42

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Solution for -4(x+3)=-7x-42 equation:


Simplifying
-4(x + 3) = -7x + -42

Reorder the terms:
-4(3 + x) = -7x + -42
(3 * -4 + x * -4) = -7x + -42
(-12 + -4x) = -7x + -42

Reorder the terms:
-12 + -4x = -42 + -7x

Solving
-12 + -4x = -42 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-12 + -4x + 7x = -42 + -7x + 7x

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

Combine like terms: -7x + 7x = 0
-12 + 3x = -42 + 0
-12 + 3x = -42

Add '12' to each side of the equation.
-12 + 12 + 3x = -42 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -42 + 12
3x = -42 + 12

Combine like terms: -42 + 12 = -30
3x = -30

Divide each side by '3'.
x = -10

Simplifying
x = -10

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