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

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


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

Reorder the terms:
-7(3 + x) + 6(2x + 9) = 6(3x + 2)
(3 * -7 + x * -7) + 6(2x + 9) = 6(3x + 2)
(-21 + -7x) + 6(2x + 9) = 6(3x + 2)

Reorder the terms:
-21 + -7x + 6(9 + 2x) = 6(3x + 2)
-21 + -7x + (9 * 6 + 2x * 6) = 6(3x + 2)
-21 + -7x + (54 + 12x) = 6(3x + 2)

Reorder the terms:
-21 + 54 + -7x + 12x = 6(3x + 2)

Combine like terms: -21 + 54 = 33
33 + -7x + 12x = 6(3x + 2)

Combine like terms: -7x + 12x = 5x
33 + 5x = 6(3x + 2)

Reorder the terms:
33 + 5x = 6(2 + 3x)
33 + 5x = (2 * 6 + 3x * 6)
33 + 5x = (12 + 18x)

Solving
33 + 5x = 12 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
33 + 5x + -18x = 12 + 18x + -18x

Combine like terms: 5x + -18x = -13x
33 + -13x = 12 + 18x + -18x

Combine like terms: 18x + -18x = 0
33 + -13x = 12 + 0
33 + -13x = 12

Add '-33' to each side of the equation.
33 + -33 + -13x = 12 + -33

Combine like terms: 33 + -33 = 0
0 + -13x = 12 + -33
-13x = 12 + -33

Combine like terms: 12 + -33 = -21
-13x = -21

Divide each side by '-13'.
x = 1.615384615

Simplifying
x = 1.615384615

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