3(x+5)-6=4(x+3)

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Solution for 3(x+5)-6=4(x+3) equation:


Simplifying
3(x + 5) + -6 = 4(x + 3)

Reorder the terms:
3(5 + x) + -6 = 4(x + 3)
(5 * 3 + x * 3) + -6 = 4(x + 3)
(15 + 3x) + -6 = 4(x + 3)

Reorder the terms:
15 + -6 + 3x = 4(x + 3)

Combine like terms: 15 + -6 = 9
9 + 3x = 4(x + 3)

Reorder the terms:
9 + 3x = 4(3 + x)
9 + 3x = (3 * 4 + x * 4)
9 + 3x = (12 + 4x)

Solving
9 + 3x = 12 + 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 = 12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
9 + -1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -1x = 12 + 0
9 + -1x = 12

Add '-9' to each side of the equation.
9 + -9 + -1x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 12 + -9
-1x = 12 + -9

Combine like terms: 12 + -9 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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