2(x-7)=7x-24

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Solution for 2(x-7)=7x-24 equation:


Simplifying
2(x + -7) = 7x + -24

Reorder the terms:
2(-7 + x) = 7x + -24
(-7 * 2 + x * 2) = 7x + -24
(-14 + 2x) = 7x + -24

Reorder the terms:
-14 + 2x = -24 + 7x

Solving
-14 + 2x = -24 + 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.
-14 + 2x + -7x = -24 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-14 + -5x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + -5x = -24 + 0
-14 + -5x = -24

Add '14' to each side of the equation.
-14 + 14 + -5x = -24 + 14

Combine like terms: -14 + 14 = 0
0 + -5x = -24 + 14
-5x = -24 + 14

Combine like terms: -24 + 14 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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