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

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


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

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

Reorder the terms:
-3 + 3x + 4(3 + 2x) = 2
-3 + 3x + (3 * 4 + 2x * 4) = 2
-3 + 3x + (12 + 8x) = 2

Reorder the terms:
-3 + 12 + 3x + 8x = 2

Combine like terms: -3 + 12 = 9
9 + 3x + 8x = 2

Combine like terms: 3x + 8x = 11x
9 + 11x = 2

Solving
9 + 11x = 2

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 11x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 11x = 2 + -9
11x = 2 + -9

Combine like terms: 2 + -9 = -7
11x = -7

Divide each side by '11'.
x = -0.6363636364

Simplifying
x = -0.6363636364

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