2+3(2x-7)=9-4(3x+1)

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Solution for 2+3(2x-7)=9-4(3x+1) equation:


Simplifying
2 + 3(2x + -7) = 9 + -4(3x + 1)

Reorder the terms:
2 + 3(-7 + 2x) = 9 + -4(3x + 1)
2 + (-7 * 3 + 2x * 3) = 9 + -4(3x + 1)
2 + (-21 + 6x) = 9 + -4(3x + 1)

Combine like terms: 2 + -21 = -19
-19 + 6x = 9 + -4(3x + 1)

Reorder the terms:
-19 + 6x = 9 + -4(1 + 3x)
-19 + 6x = 9 + (1 * -4 + 3x * -4)
-19 + 6x = 9 + (-4 + -12x)

Combine like terms: 9 + -4 = 5
-19 + 6x = 5 + -12x

Solving
-19 + 6x = 5 + -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.
-19 + 6x + 12x = 5 + -12x + 12x

Combine like terms: 6x + 12x = 18x
-19 + 18x = 5 + -12x + 12x

Combine like terms: -12x + 12x = 0
-19 + 18x = 5 + 0
-19 + 18x = 5

Add '19' to each side of the equation.
-19 + 19 + 18x = 5 + 19

Combine like terms: -19 + 19 = 0
0 + 18x = 5 + 19
18x = 5 + 19

Combine like terms: 5 + 19 = 24
18x = 24

Divide each side by '18'.
x = 1.333333333

Simplifying
x = 1.333333333

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