6(3x+9)+5(2x-6)=10-3(4-x)

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Solution for 6(3x+9)+5(2x-6)=10-3(4-x) equation:


Simplifying
6(3x + 9) + 5(2x + -6) = 10 + -3(4 + -1x)

Reorder the terms:
6(9 + 3x) + 5(2x + -6) = 10 + -3(4 + -1x)
(9 * 6 + 3x * 6) + 5(2x + -6) = 10 + -3(4 + -1x)
(54 + 18x) + 5(2x + -6) = 10 + -3(4 + -1x)

Reorder the terms:
54 + 18x + 5(-6 + 2x) = 10 + -3(4 + -1x)
54 + 18x + (-6 * 5 + 2x * 5) = 10 + -3(4 + -1x)
54 + 18x + (-30 + 10x) = 10 + -3(4 + -1x)

Reorder the terms:
54 + -30 + 18x + 10x = 10 + -3(4 + -1x)

Combine like terms: 54 + -30 = 24
24 + 18x + 10x = 10 + -3(4 + -1x)

Combine like terms: 18x + 10x = 28x
24 + 28x = 10 + -3(4 + -1x)
24 + 28x = 10 + (4 * -3 + -1x * -3)
24 + 28x = 10 + (-12 + 3x)

Combine like terms: 10 + -12 = -2
24 + 28x = -2 + 3x

Solving
24 + 28x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + 28x + -3x = -2 + 3x + -3x

Combine like terms: 28x + -3x = 25x
24 + 25x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 25x = -2 + 0
24 + 25x = -2

Add '-24' to each side of the equation.
24 + -24 + 25x = -2 + -24

Combine like terms: 24 + -24 = 0
0 + 25x = -2 + -24
25x = -2 + -24

Combine like terms: -2 + -24 = -26
25x = -26

Divide each side by '25'.
x = -1.04

Simplifying
x = -1.04

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