4(3-8x)+7(2x-9)=6(1-2x)

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Solution for 4(3-8x)+7(2x-9)=6(1-2x) equation:


Simplifying
4(3 + -8x) + 7(2x + -9) = 6(1 + -2x)
(3 * 4 + -8x * 4) + 7(2x + -9) = 6(1 + -2x)
(12 + -32x) + 7(2x + -9) = 6(1 + -2x)

Reorder the terms:
12 + -32x + 7(-9 + 2x) = 6(1 + -2x)
12 + -32x + (-9 * 7 + 2x * 7) = 6(1 + -2x)
12 + -32x + (-63 + 14x) = 6(1 + -2x)

Reorder the terms:
12 + -63 + -32x + 14x = 6(1 + -2x)

Combine like terms: 12 + -63 = -51
-51 + -32x + 14x = 6(1 + -2x)

Combine like terms: -32x + 14x = -18x
-51 + -18x = 6(1 + -2x)
-51 + -18x = (1 * 6 + -2x * 6)
-51 + -18x = (6 + -12x)

Solving
-51 + -18x = 6 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-51 + -18x + 12x = 6 + -12x + 12x

Combine like terms: -18x + 12x = -6x
-51 + -6x = 6 + -12x + 12x

Combine like terms: -12x + 12x = 0
-51 + -6x = 6 + 0
-51 + -6x = 6

Add '51' to each side of the equation.
-51 + 51 + -6x = 6 + 51

Combine like terms: -51 + 51 = 0
0 + -6x = 6 + 51
-6x = 6 + 51

Combine like terms: 6 + 51 = 57
-6x = 57

Divide each side by '-6'.
x = -9.5

Simplifying
x = -9.5

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