2(x-5)=7x-14

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Solution for 2(x-5)=7x-14 equation:


Simplifying
2(x + -5) = 7x + -14

Reorder the terms:
2(-5 + x) = 7x + -14
(-5 * 2 + x * 2) = 7x + -14
(-10 + 2x) = 7x + -14

Reorder the terms:
-10 + 2x = -14 + 7x

Solving
-10 + 2x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + 2x + -7x = -14 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-10 + -5x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -5x = -14 + 0
-10 + -5x = -14

Add '10' to each side of the equation.
-10 + 10 + -5x = -14 + 10

Combine like terms: -10 + 10 = 0
0 + -5x = -14 + 10
-5x = -14 + 10

Combine like terms: -14 + 10 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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