5x-2(3x+9)=6(2x-7)

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Solution for 5x-2(3x+9)=6(2x-7) equation:


Simplifying
5x + -2(3x + 9) = 6(2x + -7)

Reorder the terms:
5x + -2(9 + 3x) = 6(2x + -7)
5x + (9 * -2 + 3x * -2) = 6(2x + -7)
5x + (-18 + -6x) = 6(2x + -7)

Reorder the terms:
-18 + 5x + -6x = 6(2x + -7)

Combine like terms: 5x + -6x = -1x
-18 + -1x = 6(2x + -7)

Reorder the terms:
-18 + -1x = 6(-7 + 2x)
-18 + -1x = (-7 * 6 + 2x * 6)
-18 + -1x = (-42 + 12x)

Solving
-18 + -1x = -42 + 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.
-18 + -1x + -12x = -42 + 12x + -12x

Combine like terms: -1x + -12x = -13x
-18 + -13x = -42 + 12x + -12x

Combine like terms: 12x + -12x = 0
-18 + -13x = -42 + 0
-18 + -13x = -42

Add '18' to each side of the equation.
-18 + 18 + -13x = -42 + 18

Combine like terms: -18 + 18 = 0
0 + -13x = -42 + 18
-13x = -42 + 18

Combine like terms: -42 + 18 = -24
-13x = -24

Divide each side by '-13'.
x = 1.846153846

Simplifying
x = 1.846153846

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