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

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


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

Reorder the terms:
4(-4 + x) + 9 = 3(x + 3)
(-4 * 4 + x * 4) + 9 = 3(x + 3)
(-16 + 4x) + 9 = 3(x + 3)

Reorder the terms:
-16 + 9 + 4x = 3(x + 3)

Combine like terms: -16 + 9 = -7
-7 + 4x = 3(x + 3)

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

Solving
-7 + 4x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 4x + -3x = 9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-7 + 1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 1x = 9 + 0
-7 + 1x = 9

Add '7' to each side of the equation.
-7 + 7 + 1x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 9 + 7
1x = 9 + 7

Combine like terms: 9 + 7 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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