6(x-2)=5+4(x+3)

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Solution for 6(x-2)=5+4(x+3) equation:


Simplifying
6(x + -2) = 5 + 4(x + 3)

Reorder the terms:
6(-2 + x) = 5 + 4(x + 3)
(-2 * 6 + x * 6) = 5 + 4(x + 3)
(-12 + 6x) = 5 + 4(x + 3)

Reorder the terms:
-12 + 6x = 5 + 4(3 + x)
-12 + 6x = 5 + (3 * 4 + x * 4)
-12 + 6x = 5 + (12 + 4x)

Combine like terms: 5 + 12 = 17
-12 + 6x = 17 + 4x

Solving
-12 + 6x = 17 + 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.
-12 + 6x + -4x = 17 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-12 + 2x = 17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 2x = 17 + 0
-12 + 2x = 17

Add '12' to each side of the equation.
-12 + 12 + 2x = 17 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 17 + 12
2x = 17 + 12

Combine like terms: 17 + 12 = 29
2x = 29

Divide each side by '2'.
x = 14.5

Simplifying
x = 14.5

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