4(x-4)+18=3(x+3)

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Solution for 4(x-4)+18=3(x+3) equation: 


Simplifying
4(x + -4) + 18 = 3(x + 3)

Reorder the terms:
4(-4 + x) + 18 = 3(x + 3)
(-4 * 4 + x * 4) + 18 = 3(x + 3)
(-16 + 4x) + 18 = 3(x + 3)

Reorder the terms:
-16 + 18 + 4x = 3(x + 3)

Combine like terms: -16 + 18 = 2
2 + 4x = 3(x + 3)

Reorder the terms:
2 + 4x = 3(3 + x)
2 + 4x = (3 * 3 + x * 3)
2 + 4x = (9 + 3x)

Solving
2 + 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.
2 + 4x + -3x = 9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
2 + 1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 1x = 9 + 0
2 + 1x = 9

Add '-2' to each side of the equation.
2 + -2 + 1x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 9 + -2
1x = 9 + -2

Combine like terms: 9 + -2 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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