7(x-3)=5x-14

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Solution for 7(x-3)=5x-14 equation:


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

Reorder the terms:
7(-3 + x) = 5x + -14
(-3 * 7 + x * 7) = 5x + -14
(-21 + 7x) = 5x + -14

Reorder the terms:
-21 + 7x = -14 + 5x

Solving
-21 + 7x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + 7x + -5x = -14 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-21 + 2x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + 2x = -14 + 0
-21 + 2x = -14

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

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

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

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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