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

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


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

Reorder the terms:
6(-4 + x) + 3 = 5(x + 3)
(-4 * 6 + x * 6) + 3 = 5(x + 3)
(-24 + 6x) + 3 = 5(x + 3)

Reorder the terms:
-24 + 3 + 6x = 5(x + 3)

Combine like terms: -24 + 3 = -21
-21 + 6x = 5(x + 3)

Reorder the terms:
-21 + 6x = 5(3 + x)
-21 + 6x = (3 * 5 + x * 5)
-21 + 6x = (15 + 5x)

Solving
-21 + 6x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + 6x + -5x = 15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-21 + 1x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + 1x = 15 + 0
-21 + 1x = 15

Add '21' to each side of the equation.
-21 + 21 + 1x = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = 15 + 21
1x = 15 + 21

Combine like terms: 15 + 21 = 36
1x = 36

Divide each side by '1'.
x = 36

Simplifying
x = 36

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