4(6x)-6(x+1)=5(2x+3)-2(3x-10)

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Solution for 4(6x)-6(x+1)=5(2x+3)-2(3x-10) equation:


Simplifying
4(6x) + -6(x + 1) = 5(2x + 3) + -2(3x + -10)

Remove parenthesis around (6x)
4 * 6x + -6(x + 1) = 5(2x + 3) + -2(3x + -10)

Multiply 4 * 6
24x + -6(x + 1) = 5(2x + 3) + -2(3x + -10)

Reorder the terms:
24x + -6(1 + x) = 5(2x + 3) + -2(3x + -10)
24x + (1 * -6 + x * -6) = 5(2x + 3) + -2(3x + -10)
24x + (-6 + -6x) = 5(2x + 3) + -2(3x + -10)

Reorder the terms:
-6 + 24x + -6x = 5(2x + 3) + -2(3x + -10)

Combine like terms: 24x + -6x = 18x
-6 + 18x = 5(2x + 3) + -2(3x + -10)

Reorder the terms:
-6 + 18x = 5(3 + 2x) + -2(3x + -10)
-6 + 18x = (3 * 5 + 2x * 5) + -2(3x + -10)
-6 + 18x = (15 + 10x) + -2(3x + -10)

Reorder the terms:
-6 + 18x = 15 + 10x + -2(-10 + 3x)
-6 + 18x = 15 + 10x + (-10 * -2 + 3x * -2)
-6 + 18x = 15 + 10x + (20 + -6x)

Reorder the terms:
-6 + 18x = 15 + 20 + 10x + -6x

Combine like terms: 15 + 20 = 35
-6 + 18x = 35 + 10x + -6x

Combine like terms: 10x + -6x = 4x
-6 + 18x = 35 + 4x

Solving
-6 + 18x = 35 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 18x + -4x = 35 + 4x + -4x

Combine like terms: 18x + -4x = 14x
-6 + 14x = 35 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 14x = 35 + 0
-6 + 14x = 35

Add '6' to each side of the equation.
-6 + 6 + 14x = 35 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = 35 + 6
14x = 35 + 6

Combine like terms: 35 + 6 = 41
14x = 41

Divide each side by '14'.
x = 2.928571429

Simplifying
x = 2.928571429

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