6(x-2)-3(x-1)=4(3+2)

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Solution for 6(x-2)-3(x-1)=4(3+2) equation:


Simplifying
6(x + -2) + -3(x + -1) = 4(3 + 2)

Reorder the terms:
6(-2 + x) + -3(x + -1) = 4(3 + 2)
(-2 * 6 + x * 6) + -3(x + -1) = 4(3 + 2)
(-12 + 6x) + -3(x + -1) = 4(3 + 2)

Reorder the terms:
-12 + 6x + -3(-1 + x) = 4(3 + 2)
-12 + 6x + (-1 * -3 + x * -3) = 4(3 + 2)
-12 + 6x + (3 + -3x) = 4(3 + 2)

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

Combine like terms: -12 + 3 = -9
-9 + 6x + -3x = 4(3 + 2)

Combine like terms: 6x + -3x = 3x
-9 + 3x = 4(3 + 2)

Combine like terms: 3 + 2 = 5
-9 + 3x = 4(5)

Multiply 4 * 5
-9 + 3x = 20

Solving
-9 + 3x = 20

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 3x = 20 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 20 + 9
3x = 20 + 9

Combine like terms: 20 + 9 = 29
3x = 29

Divide each side by '3'.
x = 9.666666667

Simplifying
x = 9.666666667

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