-4x-7(-x+3)=-45

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Solution for -4x-7(-x+3)=-45 equation:


Simplifying
-4x + -7(-1x + 3) = -45

Reorder the terms:
-4x + -7(3 + -1x) = -45
-4x + (3 * -7 + -1x * -7) = -45
-4x + (-21 + 7x) = -45

Reorder the terms:
-21 + -4x + 7x = -45

Combine like terms: -4x + 7x = 3x
-21 + 3x = -45

Solving
-21 + 3x = -45

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 3x = -45 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = -45 + 21
3x = -45 + 21

Combine like terms: -45 + 21 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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