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

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


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

Reorder the terms:
4(-3 + x) + -7(4 + -1x) = 6(2x + -3)
(-3 * 4 + x * 4) + -7(4 + -1x) = 6(2x + -3)
(-12 + 4x) + -7(4 + -1x) = 6(2x + -3)
-12 + 4x + (4 * -7 + -1x * -7) = 6(2x + -3)
-12 + 4x + (-28 + 7x) = 6(2x + -3)

Reorder the terms:
-12 + -28 + 4x + 7x = 6(2x + -3)

Combine like terms: -12 + -28 = -40
-40 + 4x + 7x = 6(2x + -3)

Combine like terms: 4x + 7x = 11x
-40 + 11x = 6(2x + -3)

Reorder the terms:
-40 + 11x = 6(-3 + 2x)
-40 + 11x = (-3 * 6 + 2x * 6)
-40 + 11x = (-18 + 12x)

Solving
-40 + 11x = -18 + 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.
-40 + 11x + -12x = -18 + 12x + -12x

Combine like terms: 11x + -12x = -1x
-40 + -1x = -18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-40 + -1x = -18 + 0
-40 + -1x = -18

Add '40' to each side of the equation.
-40 + 40 + -1x = -18 + 40

Combine like terms: -40 + 40 = 0
0 + -1x = -18 + 40
-1x = -18 + 40

Combine like terms: -18 + 40 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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