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

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


Simplifying
6(2 + -1x) + 7(x + -3) + 3(2x + -5) = -4
(2 * 6 + -1x * 6) + 7(x + -3) + 3(2x + -5) = -4
(12 + -6x) + 7(x + -3) + 3(2x + -5) = -4

Reorder the terms:
12 + -6x + 7(-3 + x) + 3(2x + -5) = -4
12 + -6x + (-3 * 7 + x * 7) + 3(2x + -5) = -4
12 + -6x + (-21 + 7x) + 3(2x + -5) = -4

Reorder the terms:
12 + -6x + -21 + 7x + 3(-5 + 2x) = -4
12 + -6x + -21 + 7x + (-5 * 3 + 2x * 3) = -4
12 + -6x + -21 + 7x + (-15 + 6x) = -4

Reorder the terms:
12 + -21 + -15 + -6x + 7x + 6x = -4

Combine like terms: 12 + -21 = -9
-9 + -15 + -6x + 7x + 6x = -4

Combine like terms: -9 + -15 = -24
-24 + -6x + 7x + 6x = -4

Combine like terms: -6x + 7x = 1x
-24 + 1x + 6x = -4

Combine like terms: 1x + 6x = 7x
-24 + 7x = -4

Solving
-24 + 7x = -4

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 7x = -4 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = -4 + 24
7x = -4 + 24

Combine like terms: -4 + 24 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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