4x+7(-3x-5)=-49-3x

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Solution for 4x+7(-3x-5)=-49-3x equation:


Simplifying
4x + 7(-3x + -5) = -49 + -3x

Reorder the terms:
4x + 7(-5 + -3x) = -49 + -3x
4x + (-5 * 7 + -3x * 7) = -49 + -3x
4x + (-35 + -21x) = -49 + -3x

Reorder the terms:
-35 + 4x + -21x = -49 + -3x

Combine like terms: 4x + -21x = -17x
-35 + -17x = -49 + -3x

Solving
-35 + -17x = -49 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-35 + -17x + 3x = -49 + -3x + 3x

Combine like terms: -17x + 3x = -14x
-35 + -14x = -49 + -3x + 3x

Combine like terms: -3x + 3x = 0
-35 + -14x = -49 + 0
-35 + -14x = -49

Add '35' to each side of the equation.
-35 + 35 + -14x = -49 + 35

Combine like terms: -35 + 35 = 0
0 + -14x = -49 + 35
-14x = -49 + 35

Combine like terms: -49 + 35 = -14
-14x = -14

Divide each side by '-14'.
x = 1

Simplifying
x = 1

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