3x-7(2x+2)=4x+16

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Solution for 3x-7(2x+2)=4x+16 equation:


Simplifying
3x + -7(2x + 2) = 4x + 16

Reorder the terms:
3x + -7(2 + 2x) = 4x + 16
3x + (2 * -7 + 2x * -7) = 4x + 16
3x + (-14 + -14x) = 4x + 16

Reorder the terms:
-14 + 3x + -14x = 4x + 16

Combine like terms: 3x + -14x = -11x
-14 + -11x = 4x + 16

Reorder the terms:
-14 + -11x = 16 + 4x

Solving
-14 + -11x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-14 + -11x + -4x = 16 + 4x + -4x

Combine like terms: -11x + -4x = -15x
-14 + -15x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -15x = 16 + 0
-14 + -15x = 16

Add '14' to each side of the equation.
-14 + 14 + -15x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + -15x = 16 + 14
-15x = 16 + 14

Combine like terms: 16 + 14 = 30
-15x = 30

Divide each side by '-15'.
x = -2

Simplifying
x = -2

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