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

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


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

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

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

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

Solving
2 + -3x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + -3x + -5x = -9 + 5x + -5x

Combine like terms: -3x + -5x = -8x
2 + -8x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -8x = -9 + 0
2 + -8x = -9

Add '-2' to each side of the equation.
2 + -2 + -8x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -9 + -2
-8x = -9 + -2

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

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375

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