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

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


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

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

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

Reorder the terms:
12 + -15 + 8x + 3x = 6(x + -1)

Combine like terms: 12 + -15 = -3
-3 + 8x + 3x = 6(x + -1)

Combine like terms: 8x + 3x = 11x
-3 + 11x = 6(x + -1)

Reorder the terms:
-3 + 11x = 6(-1 + x)
-3 + 11x = (-1 * 6 + x * 6)
-3 + 11x = (-6 + 6x)

Solving
-3 + 11x = -6 + 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.
-3 + 11x + -6x = -6 + 6x + -6x

Combine like terms: 11x + -6x = 5x
-3 + 5x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 5x = -6 + 0
-3 + 5x = -6

Add '3' to each side of the equation.
-3 + 3 + 5x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = -6 + 3
5x = -6 + 3

Combine like terms: -6 + 3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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