14x-13=6(x+7)-2

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Solution for 14x-13=6(x+7)-2 equation:


Simplifying
14x + -13 = 6(x + 7) + -2

Reorder the terms:
-13 + 14x = 6(x + 7) + -2

Reorder the terms:
-13 + 14x = 6(7 + x) + -2
-13 + 14x = (7 * 6 + x * 6) + -2
-13 + 14x = (42 + 6x) + -2

Reorder the terms:
-13 + 14x = 42 + -2 + 6x

Combine like terms: 42 + -2 = 40
-13 + 14x = 40 + 6x

Solving
-13 + 14x = 40 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-13 + 14x + -6x = 40 + 6x + -6x

Combine like terms: 14x + -6x = 8x
-13 + 8x = 40 + 6x + -6x

Combine like terms: 6x + -6x = 0
-13 + 8x = 40 + 0
-13 + 8x = 40

Add '13' to each side of the equation.
-13 + 13 + 8x = 40 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 40 + 13
8x = 40 + 13

Combine like terms: 40 + 13 = 53
8x = 53

Divide each side by '8'.
x = 6.625

Simplifying
x = 6.625

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