13x+7=16x-5

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Solution for 13x+7=16x-5 equation:


Simplifying
13x + 7 = 16x + -5

Reorder the terms:
7 + 13x = 16x + -5

Reorder the terms:
7 + 13x = -5 + 16x

Solving
7 + 13x = -5 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
7 + 13x + -16x = -5 + 16x + -16x

Combine like terms: 13x + -16x = -3x
7 + -3x = -5 + 16x + -16x

Combine like terms: 16x + -16x = 0
7 + -3x = -5 + 0
7 + -3x = -5

Add '-7' to each side of the equation.
7 + -7 + -3x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -5 + -7
-3x = -5 + -7

Combine like terms: -5 + -7 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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