2x(3)+2(x-5)=14(x-5)

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Solution for 2x(3)+2(x-5)=14(x-5) equation:


Simplifying
2x(3) + 2(x + -5) = 14(x + -5)

Reorder the terms for easier multiplication:
2 * 3x + 2(x + -5) = 14(x + -5)

Multiply 2 * 3
6x + 2(x + -5) = 14(x + -5)

Reorder the terms:
6x + 2(-5 + x) = 14(x + -5)
6x + (-5 * 2 + x * 2) = 14(x + -5)
6x + (-10 + 2x) = 14(x + -5)

Reorder the terms:
-10 + 6x + 2x = 14(x + -5)

Combine like terms: 6x + 2x = 8x
-10 + 8x = 14(x + -5)

Reorder the terms:
-10 + 8x = 14(-5 + x)
-10 + 8x = (-5 * 14 + x * 14)
-10 + 8x = (-70 + 14x)

Solving
-10 + 8x = -70 + 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 + 8x + -14x = -70 + 14x + -14x

Combine like terms: 8x + -14x = -6x
-10 + -6x = -70 + 14x + -14x

Combine like terms: 14x + -14x = 0
-10 + -6x = -70 + 0
-10 + -6x = -70

Add '10' to each side of the equation.
-10 + 10 + -6x = -70 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = -70 + 10
-6x = -70 + 10

Combine like terms: -70 + 10 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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