6*(4-3x)=5*(3-2x)-4*(x-7)

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Solution for 6*(4-3x)=5*(3-2x)-4*(x-7) equation:


Simplifying
6(4 + -3x) = 5(3 + -2x) + -4(x + -7)
(4 * 6 + -3x * 6) = 5(3 + -2x) + -4(x + -7)
(24 + -18x) = 5(3 + -2x) + -4(x + -7)
24 + -18x = (3 * 5 + -2x * 5) + -4(x + -7)
24 + -18x = (15 + -10x) + -4(x + -7)

Reorder the terms:
24 + -18x = 15 + -10x + -4(-7 + x)
24 + -18x = 15 + -10x + (-7 * -4 + x * -4)
24 + -18x = 15 + -10x + (28 + -4x)

Reorder the terms:
24 + -18x = 15 + 28 + -10x + -4x

Combine like terms: 15 + 28 = 43
24 + -18x = 43 + -10x + -4x

Combine like terms: -10x + -4x = -14x
24 + -18x = 43 + -14x

Solving
24 + -18x = 43 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
24 + -18x + 14x = 43 + -14x + 14x

Combine like terms: -18x + 14x = -4x
24 + -4x = 43 + -14x + 14x

Combine like terms: -14x + 14x = 0
24 + -4x = 43 + 0
24 + -4x = 43

Add '-24' to each side of the equation.
24 + -24 + -4x = 43 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = 43 + -24
-4x = 43 + -24

Combine like terms: 43 + -24 = 19
-4x = 19

Divide each side by '-4'.
x = -4.75

Simplifying
x = -4.75

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