-3x-16=-7(x-4)

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Solution for -3x-16=-7(x-4) equation:


Simplifying
-3x + -16 = -7(x + -4)

Reorder the terms:
-16 + -3x = -7(x + -4)

Reorder the terms:
-16 + -3x = -7(-4 + x)
-16 + -3x = (-4 * -7 + x * -7)
-16 + -3x = (28 + -7x)

Solving
-16 + -3x = 28 + -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.
-16 + -3x + 7x = 28 + -7x + 7x

Combine like terms: -3x + 7x = 4x
-16 + 4x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
-16 + 4x = 28 + 0
-16 + 4x = 28

Add '16' to each side of the equation.
-16 + 16 + 4x = 28 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 28 + 16
4x = 28 + 16

Combine like terms: 28 + 16 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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