16x-13=5(3x+4)-7

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Solution for 16x-13=5(3x+4)-7 equation:


Simplifying
16x + -13 = 5(3x + 4) + -7

Reorder the terms:
-13 + 16x = 5(3x + 4) + -7

Reorder the terms:
-13 + 16x = 5(4 + 3x) + -7
-13 + 16x = (4 * 5 + 3x * 5) + -7
-13 + 16x = (20 + 15x) + -7

Reorder the terms:
-13 + 16x = 20 + -7 + 15x

Combine like terms: 20 + -7 = 13
-13 + 16x = 13 + 15x

Solving
-13 + 16x = 13 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-13 + 16x + -15x = 13 + 15x + -15x

Combine like terms: 16x + -15x = 1x
-13 + 1x = 13 + 15x + -15x

Combine like terms: 15x + -15x = 0
-13 + 1x = 13 + 0
-13 + 1x = 13

Add '13' to each side of the equation.
-13 + 13 + 1x = 13 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = 13 + 13
1x = 13 + 13

Combine like terms: 13 + 13 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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