3(x-6)+9=4(x+7)

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Solution for 3(x-6)+9=4(x+7) equation:


Simplifying
3(x + -6) + 9 = 4(x + 7)

Reorder the terms:
3(-6 + x) + 9 = 4(x + 7)
(-6 * 3 + x * 3) + 9 = 4(x + 7)
(-18 + 3x) + 9 = 4(x + 7)

Reorder the terms:
-18 + 9 + 3x = 4(x + 7)

Combine like terms: -18 + 9 = -9
-9 + 3x = 4(x + 7)

Reorder the terms:
-9 + 3x = 4(7 + x)
-9 + 3x = (7 * 4 + x * 4)
-9 + 3x = (28 + 4x)

Solving
-9 + 3x = 28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 3x + -4x = 28 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-9 + -1x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -1x = 28 + 0
-9 + -1x = 28

Add '9' to each side of the equation.
-9 + 9 + -1x = 28 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 28 + 9
-1x = 28 + 9

Combine like terms: 28 + 9 = 37
-1x = 37

Divide each side by '-1'.
x = -37

Simplifying
x = -37

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