3+3(5x-4)=6-3(2x+1)

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Solution for 3+3(5x-4)=6-3(2x+1) equation:


Simplifying
3 + 3(5x + -4) = 6 + -3(2x + 1)

Reorder the terms:
3 + 3(-4 + 5x) = 6 + -3(2x + 1)
3 + (-4 * 3 + 5x * 3) = 6 + -3(2x + 1)
3 + (-12 + 15x) = 6 + -3(2x + 1)

Combine like terms: 3 + -12 = -9
-9 + 15x = 6 + -3(2x + 1)

Reorder the terms:
-9 + 15x = 6 + -3(1 + 2x)
-9 + 15x = 6 + (1 * -3 + 2x * -3)
-9 + 15x = 6 + (-3 + -6x)

Combine like terms: 6 + -3 = 3
-9 + 15x = 3 + -6x

Solving
-9 + 15x = 3 + -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 + 15x + 6x = 3 + -6x + 6x

Combine like terms: 15x + 6x = 21x
-9 + 21x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-9 + 21x = 3 + 0
-9 + 21x = 3

Add '9' to each side of the equation.
-9 + 9 + 21x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 21x = 3 + 9
21x = 3 + 9

Combine like terms: 3 + 9 = 12
21x = 12

Divide each side by '21'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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