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

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


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

Reorder the terms:
7 + 4(-6 + 3x) = 6 + -4(2x + 1)
7 + (-6 * 4 + 3x * 4) = 6 + -4(2x + 1)
7 + (-24 + 12x) = 6 + -4(2x + 1)

Combine like terms: 7 + -24 = -17
-17 + 12x = 6 + -4(2x + 1)

Reorder the terms:
-17 + 12x = 6 + -4(1 + 2x)
-17 + 12x = 6 + (1 * -4 + 2x * -4)
-17 + 12x = 6 + (-4 + -8x)

Combine like terms: 6 + -4 = 2
-17 + 12x = 2 + -8x

Solving
-17 + 12x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-17 + 12x + 8x = 2 + -8x + 8x

Combine like terms: 12x + 8x = 20x
-17 + 20x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
-17 + 20x = 2 + 0
-17 + 20x = 2

Add '17' to each side of the equation.
-17 + 17 + 20x = 2 + 17

Combine like terms: -17 + 17 = 0
0 + 20x = 2 + 17
20x = 2 + 17

Combine like terms: 2 + 17 = 19
20x = 19

Divide each side by '20'.
x = 0.95

Simplifying
x = 0.95

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