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

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


Simplifying
6(3 + -2x) + 2(3x + 7) = 4(2x + 1)
(3 * 6 + -2x * 6) + 2(3x + 7) = 4(2x + 1)
(18 + -12x) + 2(3x + 7) = 4(2x + 1)

Reorder the terms:
18 + -12x + 2(7 + 3x) = 4(2x + 1)
18 + -12x + (7 * 2 + 3x * 2) = 4(2x + 1)
18 + -12x + (14 + 6x) = 4(2x + 1)

Reorder the terms:
18 + 14 + -12x + 6x = 4(2x + 1)

Combine like terms: 18 + 14 = 32
32 + -12x + 6x = 4(2x + 1)

Combine like terms: -12x + 6x = -6x
32 + -6x = 4(2x + 1)

Reorder the terms:
32 + -6x = 4(1 + 2x)
32 + -6x = (1 * 4 + 2x * 4)
32 + -6x = (4 + 8x)

Solving
32 + -6x = 4 + 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.
32 + -6x + -8x = 4 + 8x + -8x

Combine like terms: -6x + -8x = -14x
32 + -14x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
32 + -14x = 4 + 0
32 + -14x = 4

Add '-32' to each side of the equation.
32 + -32 + -14x = 4 + -32

Combine like terms: 32 + -32 = 0
0 + -14x = 4 + -32
-14x = 4 + -32

Combine like terms: 4 + -32 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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