3(5x+2)-16=13x+4

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Solution for 3(5x+2)-16=13x+4 equation:


Simplifying
3(5x + 2) + -16 = 13x + 4

Reorder the terms:
3(2 + 5x) + -16 = 13x + 4
(2 * 3 + 5x * 3) + -16 = 13x + 4
(6 + 15x) + -16 = 13x + 4

Reorder the terms:
6 + -16 + 15x = 13x + 4

Combine like terms: 6 + -16 = -10
-10 + 15x = 13x + 4

Reorder the terms:
-10 + 15x = 4 + 13x

Solving
-10 + 15x = 4 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-10 + 15x + -13x = 4 + 13x + -13x

Combine like terms: 15x + -13x = 2x
-10 + 2x = 4 + 13x + -13x

Combine like terms: 13x + -13x = 0
-10 + 2x = 4 + 0
-10 + 2x = 4

Add '10' to each side of the equation.
-10 + 10 + 2x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 4 + 10
2x = 4 + 10

Combine like terms: 4 + 10 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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