2(x-7)-10=12-14x

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Solution for 2(x-7)-10=12-14x equation:


Simplifying
2(x + -7) + -10 = 12 + -14x

Reorder the terms:
2(-7 + x) + -10 = 12 + -14x
(-7 * 2 + x * 2) + -10 = 12 + -14x
(-14 + 2x) + -10 = 12 + -14x

Reorder the terms:
-14 + -10 + 2x = 12 + -14x

Combine like terms: -14 + -10 = -24
-24 + 2x = 12 + -14x

Solving
-24 + 2x = 12 + -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.
-24 + 2x + 14x = 12 + -14x + 14x

Combine like terms: 2x + 14x = 16x
-24 + 16x = 12 + -14x + 14x

Combine like terms: -14x + 14x = 0
-24 + 16x = 12 + 0
-24 + 16x = 12

Add '24' to each side of the equation.
-24 + 24 + 16x = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 16x = 12 + 24
16x = 12 + 24

Combine like terms: 12 + 24 = 36
16x = 36

Divide each side by '16'.
x = 2.25

Simplifying
x = 2.25

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