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

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


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

Reorder the terms:
3(-7 + x) = 6(x + 5)
(-7 * 3 + x * 3) = 6(x + 5)
(-21 + 3x) = 6(x + 5)

Reorder the terms:
-21 + 3x = 6(5 + x)
-21 + 3x = (5 * 6 + x * 6)
-21 + 3x = (30 + 6x)

Solving
-21 + 3x = 30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-21 + 3x + -6x = 30 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-21 + -3x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + -3x = 30 + 0
-21 + -3x = 30

Add '21' to each side of the equation.
-21 + 21 + -3x = 30 + 21

Combine like terms: -21 + 21 = 0
0 + -3x = 30 + 21
-3x = 30 + 21

Combine like terms: 30 + 21 = 51
-3x = 51

Divide each side by '-3'.
x = -17

Simplifying
x = -17

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