4(x+5)-6(2x+3)=3(x+14)-2(5-x)+9

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Solution for 4(x+5)-6(2x+3)=3(x+14)-2(5-x)+9 equation: 


Simplifying
4(x + 5) + -6(2x + 3) = 3(x + 14) + -2(5 + -1x) + 9

Reorder the terms:
4(5 + x) + -6(2x + 3) = 3(x + 14) + -2(5 + -1x) + 9
(5 * 4 + x * 4) + -6(2x + 3) = 3(x + 14) + -2(5 + -1x) + 9
(20 + 4x) + -6(2x + 3) = 3(x + 14) + -2(5 + -1x) + 9

Reorder the terms:
20 + 4x + -6(3 + 2x) = 3(x + 14) + -2(5 + -1x) + 9
20 + 4x + (3 * -6 + 2x * -6) = 3(x + 14) + -2(5 + -1x) + 9
20 + 4x + (-18 + -12x) = 3(x + 14) + -2(5 + -1x) + 9

Reorder the terms:
20 + -18 + 4x + -12x = 3(x + 14) + -2(5 + -1x) + 9

Combine like terms: 20 + -18 = 2
2 + 4x + -12x = 3(x + 14) + -2(5 + -1x) + 9

Combine like terms: 4x + -12x = -8x
2 + -8x = 3(x + 14) + -2(5 + -1x) + 9

Reorder the terms:
2 + -8x = 3(14 + x) + -2(5 + -1x) + 9
2 + -8x = (14 * 3 + x * 3) + -2(5 + -1x) + 9
2 + -8x = (42 + 3x) + -2(5 + -1x) + 9
2 + -8x = 42 + 3x + (5 * -2 + -1x * -2) + 9
2 + -8x = 42 + 3x + (-10 + 2x) + 9

Reorder the terms:
2 + -8x = 42 + -10 + 9 + 3x + 2x

Combine like terms: 42 + -10 = 32
2 + -8x = 32 + 9 + 3x + 2x

Combine like terms: 32 + 9 = 41
2 + -8x = 41 + 3x + 2x

Combine like terms: 3x + 2x = 5x
2 + -8x = 41 + 5x

Solving
2 + -8x = 41 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + -8x + -5x = 41 + 5x + -5x

Combine like terms: -8x + -5x = -13x
2 + -13x = 41 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -13x = 41 + 0
2 + -13x = 41

Add '-2' to each side of the equation.
2 + -2 + -13x = 41 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = 41 + -2
-13x = 41 + -2

Combine like terms: 41 + -2 = 39
-13x = 39

Divide each side by '-13'.
x = -3

Simplifying
x = -3

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