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

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


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

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

Combine like terms: 5 + -6 = -1
-1 + -9x = 4(2x + -1)

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

Solving
-1 + -9x = -4 + 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.
-1 + -9x + -8x = -4 + 8x + -8x

Combine like terms: -9x + -8x = -17x
-1 + -17x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -17x = -4 + 0
-1 + -17x = -4

Add '1' to each side of the equation.
-1 + 1 + -17x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -17x = -4 + 1
-17x = -4 + 1

Combine like terms: -4 + 1 = -3
-17x = -3

Divide each side by '-17'.
x = 0.1764705882

Simplifying
x = 0.1764705882

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