2x+7(x-3)=2(x-7)

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Solution for 2x+7(x-3)=2(x-7) equation:


Simplifying
2x + 7(x + -3) = 2(x + -7)

Reorder the terms:
2x + 7(-3 + x) = 2(x + -7)
2x + (-3 * 7 + x * 7) = 2(x + -7)
2x + (-21 + 7x) = 2(x + -7)

Reorder the terms:
-21 + 2x + 7x = 2(x + -7)

Combine like terms: 2x + 7x = 9x
-21 + 9x = 2(x + -7)

Reorder the terms:
-21 + 9x = 2(-7 + x)
-21 + 9x = (-7 * 2 + x * 2)
-21 + 9x = (-14 + 2x)

Solving
-21 + 9x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-21 + 9x + -2x = -14 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-21 + 7x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 7x = -14 + 0
-21 + 7x = -14

Add '21' to each side of the equation.
-21 + 21 + 7x = -14 + 21

Combine like terms: -21 + 21 = 0
0 + 7x = -14 + 21
7x = -14 + 21

Combine like terms: -14 + 21 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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