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

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


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

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

Combine like terms: 2 + -12 = -10
-10 + 15x = 5 + -6(2x + 1)

Reorder the terms:
-10 + 15x = 5 + -6(1 + 2x)
-10 + 15x = 5 + (1 * -6 + 2x * -6)
-10 + 15x = 5 + (-6 + -12x)

Combine like terms: 5 + -6 = -1
-10 + 15x = -1 + -12x

Solving
-10 + 15x = -1 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-10 + 15x + 12x = -1 + -12x + 12x

Combine like terms: 15x + 12x = 27x
-10 + 27x = -1 + -12x + 12x

Combine like terms: -12x + 12x = 0
-10 + 27x = -1 + 0
-10 + 27x = -1

Add '10' to each side of the equation.
-10 + 10 + 27x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 27x = -1 + 10
27x = -1 + 10

Combine like terms: -1 + 10 = 9
27x = 9

Divide each side by '27'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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