5(x-3)=7(6-2x)

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Solution for 5(x-3)=7(6-2x) equation:


Simplifying
5(x + -3) = 7(6 + -2x)

Reorder the terms:
5(-3 + x) = 7(6 + -2x)
(-3 * 5 + x * 5) = 7(6 + -2x)
(-15 + 5x) = 7(6 + -2x)
-15 + 5x = (6 * 7 + -2x * 7)
-15 + 5x = (42 + -14x)

Solving
-15 + 5x = 42 + -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.
-15 + 5x + 14x = 42 + -14x + 14x

Combine like terms: 5x + 14x = 19x
-15 + 19x = 42 + -14x + 14x

Combine like terms: -14x + 14x = 0
-15 + 19x = 42 + 0
-15 + 19x = 42

Add '15' to each side of the equation.
-15 + 15 + 19x = 42 + 15

Combine like terms: -15 + 15 = 0
0 + 19x = 42 + 15
19x = 42 + 15

Combine like terms: 42 + 15 = 57
19x = 57

Divide each side by '19'.
x = 3

Simplifying
x = 3

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