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

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


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

Reorder the terms:
4(-3 + 2x) + 3(5x + 6) = 2 + -5(4x + -1)
(-3 * 4 + 2x * 4) + 3(5x + 6) = 2 + -5(4x + -1)
(-12 + 8x) + 3(5x + 6) = 2 + -5(4x + -1)

Reorder the terms:
-12 + 8x + 3(6 + 5x) = 2 + -5(4x + -1)
-12 + 8x + (6 * 3 + 5x * 3) = 2 + -5(4x + -1)
-12 + 8x + (18 + 15x) = 2 + -5(4x + -1)

Reorder the terms:
-12 + 18 + 8x + 15x = 2 + -5(4x + -1)

Combine like terms: -12 + 18 = 6
6 + 8x + 15x = 2 + -5(4x + -1)

Combine like terms: 8x + 15x = 23x
6 + 23x = 2 + -5(4x + -1)

Reorder the terms:
6 + 23x = 2 + -5(-1 + 4x)
6 + 23x = 2 + (-1 * -5 + 4x * -5)
6 + 23x = 2 + (5 + -20x)

Combine like terms: 2 + 5 = 7
6 + 23x = 7 + -20x

Solving
6 + 23x = 7 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
6 + 23x + 20x = 7 + -20x + 20x

Combine like terms: 23x + 20x = 43x
6 + 43x = 7 + -20x + 20x

Combine like terms: -20x + 20x = 0
6 + 43x = 7 + 0
6 + 43x = 7

Add '-6' to each side of the equation.
6 + -6 + 43x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 43x = 7 + -6
43x = 7 + -6

Combine like terms: 7 + -6 = 1
43x = 1

Divide each side by '43'.
x = 0.02325581395

Simplifying
x = 0.02325581395

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