3(x-7)=-6x+15

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Solution for 3(x-7)=-6x+15 equation:


Simplifying
3(x + -7) = -6x + 15

Reorder the terms:
3(-7 + x) = -6x + 15
(-7 * 3 + x * 3) = -6x + 15
(-21 + 3x) = -6x + 15

Reorder the terms:
-21 + 3x = 15 + -6x

Solving
-21 + 3x = 15 + -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 = 15 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-21 + 9x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
-21 + 9x = 15 + 0
-21 + 9x = 15

Add '21' to each side of the equation.
-21 + 21 + 9x = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 9x = 15 + 21
9x = 15 + 21

Combine like terms: 15 + 21 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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