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

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


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

Reorder the terms:
7 + 16x = 5(7x + 9)

Reorder the terms:
7 + 16x = 5(9 + 7x)
7 + 16x = (9 * 5 + 7x * 5)
7 + 16x = (45 + 35x)

Solving
7 + 16x = 45 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
7 + 16x + -35x = 45 + 35x + -35x

Combine like terms: 16x + -35x = -19x
7 + -19x = 45 + 35x + -35x

Combine like terms: 35x + -35x = 0
7 + -19x = 45 + 0
7 + -19x = 45

Add '-7' to each side of the equation.
7 + -7 + -19x = 45 + -7

Combine like terms: 7 + -7 = 0
0 + -19x = 45 + -7
-19x = 45 + -7

Combine like terms: 45 + -7 = 38
-19x = 38

Divide each side by '-19'.
x = -2

Simplifying
x = -2

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