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

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


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

Reorder the terms:
9 + 4x = -3(1 + -2x) + 5
9 + 4x = (1 * -3 + -2x * -3) + 5
9 + 4x = (-3 + 6x) + 5

Reorder the terms:
9 + 4x = -3 + 5 + 6x

Combine like terms: -3 + 5 = 2
9 + 4x = 2 + 6x

Solving
9 + 4x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 4x + -6x = 2 + 6x + -6x

Combine like terms: 4x + -6x = -2x
9 + -2x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -2x = 2 + 0
9 + -2x = 2

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

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

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

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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