6*3(x-2)-3*7x-1=2*x-4

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Solution for 6*3(x-2)-3*7x-1=2*x-4 equation:


Simplifying
6 * 3(x + -2) + -3 * 7x + -1 = 2x + -4

Reorder the terms:
6 * 3(-2 + x) + -3 * 7x + -1 = 2x + -4

Multiply 6 * 3
18(-2 + x) + -3 * 7x + -1 = 2x + -4
(-2 * 18 + x * 18) + -3 * 7x + -1 = 2x + -4
(-36 + 18x) + -3 * 7x + -1 = 2x + -4

Multiply -3 * 7
-36 + 18x + -21x + -1 = 2x + -4

Reorder the terms:
-36 + -1 + 18x + -21x = 2x + -4

Combine like terms: -36 + -1 = -37
-37 + 18x + -21x = 2x + -4

Combine like terms: 18x + -21x = -3x
-37 + -3x = 2x + -4

Reorder the terms:
-37 + -3x = -4 + 2x

Solving
-37 + -3x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-37 + -3x + -2x = -4 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-37 + -5x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-37 + -5x = -4 + 0
-37 + -5x = -4

Add '37' to each side of the equation.
-37 + 37 + -5x = -4 + 37

Combine like terms: -37 + 37 = 0
0 + -5x = -4 + 37
-5x = -4 + 37

Combine like terms: -4 + 37 = 33
-5x = 33

Divide each side by '-5'.
x = -6.6

Simplifying
x = -6.6

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