4x+2-9(x-1)=3(x+5)

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Solution for 4x+2-9(x-1)=3(x+5) equation:


Simplifying
4x + 2 + -9(x + -1) = 3(x + 5)

Reorder the terms:
4x + 2 + -9(-1 + x) = 3(x + 5)
4x + 2 + (-1 * -9 + x * -9) = 3(x + 5)
4x + 2 + (9 + -9x) = 3(x + 5)

Reorder the terms:
2 + 9 + 4x + -9x = 3(x + 5)

Combine like terms: 2 + 9 = 11
11 + 4x + -9x = 3(x + 5)

Combine like terms: 4x + -9x = -5x
11 + -5x = 3(x + 5)

Reorder the terms:
11 + -5x = 3(5 + x)
11 + -5x = (5 * 3 + x * 3)
11 + -5x = (15 + 3x)

Solving
11 + -5x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + -5x + -3x = 15 + 3x + -3x

Combine like terms: -5x + -3x = -8x
11 + -8x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -8x = 15 + 0
11 + -8x = 15

Add '-11' to each side of the equation.
11 + -11 + -8x = 15 + -11

Combine like terms: 11 + -11 = 0
0 + -8x = 15 + -11
-8x = 15 + -11

Combine like terms: 15 + -11 = 4
-8x = 4

Divide each side by '-8'.
x = -0.5

Simplifying
x = -0.5

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