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

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


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

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

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

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

Combine like terms: -12 + -1 = -13
-13 + 6x + -3x = 4(3 + 2)

Combine like terms: 6x + -3x = 3x
-13 + 3x = 4(3 + 2)

Combine like terms: 3 + 2 = 5
-13 + 3x = 4(5)

Multiply 4 * 5
-13 + 3x = 20

Solving
-13 + 3x = 20

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 3x = 20 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 20 + 13
3x = 20 + 13

Combine like terms: 20 + 13 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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