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

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


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

Reorder the terms:
2 + 2(-4 + 3x) = 9 + -4(2x + 1)
2 + (-4 * 2 + 3x * 2) = 9 + -4(2x + 1)
2 + (-8 + 6x) = 9 + -4(2x + 1)

Combine like terms: 2 + -8 = -6
-6 + 6x = 9 + -4(2x + 1)

Reorder the terms:
-6 + 6x = 9 + -4(1 + 2x)
-6 + 6x = 9 + (1 * -4 + 2x * -4)
-6 + 6x = 9 + (-4 + -8x)

Combine like terms: 9 + -4 = 5
-6 + 6x = 5 + -8x

Solving
-6 + 6x = 5 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6 + 6x + 8x = 5 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-6 + 14x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 14x = 5 + 0
-6 + 14x = 5

Add '6' to each side of the equation.
-6 + 6 + 14x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = 5 + 6
14x = 5 + 6

Combine like terms: 5 + 6 = 11
14x = 11

Divide each side by '14'.
x = 0.7857142857

Simplifying
x = 0.7857142857

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