5+7(x-9)=4x-16

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Solution for 5+7(x-9)=4x-16 equation:


Simplifying
5 + 7(x + -9) = 4x + -16

Reorder the terms:
5 + 7(-9 + x) = 4x + -16
5 + (-9 * 7 + x * 7) = 4x + -16
5 + (-63 + 7x) = 4x + -16

Combine like terms: 5 + -63 = -58
-58 + 7x = 4x + -16

Reorder the terms:
-58 + 7x = -16 + 4x

Solving
-58 + 7x = -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.
-58 + 7x + -4x = -16 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-58 + 3x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-58 + 3x = -16 + 0
-58 + 3x = -16

Add '58' to each side of the equation.
-58 + 58 + 3x = -16 + 58

Combine like terms: -58 + 58 = 0
0 + 3x = -16 + 58
3x = -16 + 58

Combine like terms: -16 + 58 = 42
3x = 42

Divide each side by '3'.
x = 14

Simplifying
x = 14

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