6x-10=14(x+3)

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Solution for 6x-10=14(x+3) equation:


Simplifying
6x + -10 = 14(x + 3)

Reorder the terms:
-10 + 6x = 14(x + 3)

Reorder the terms:
-10 + 6x = 14(3 + x)
-10 + 6x = (3 * 14 + x * 14)
-10 + 6x = (42 + 14x)

Solving
-10 + 6x = 42 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-10 + 6x + -14x = 42 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-10 + -8x = 42 + 14x + -14x

Combine like terms: 14x + -14x = 0
-10 + -8x = 42 + 0
-10 + -8x = 42

Add '10' to each side of the equation.
-10 + 10 + -8x = 42 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = 42 + 10
-8x = 42 + 10

Combine like terms: 42 + 10 = 52
-8x = 52

Divide each side by '-8'.
x = -6.5

Simplifying
x = -6.5

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