2(3x+3)+3(10x-4x-58)=4(x+6)

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Solution for 2(3x+3)+3(10x-4x-58)=4(x+6) equation:


Simplifying
2(3x + 3) + 3(10x + -4x + -58) = 4(x + 6)

Reorder the terms:
2(3 + 3x) + 3(10x + -4x + -58) = 4(x + 6)
(3 * 2 + 3x * 2) + 3(10x + -4x + -58) = 4(x + 6)
(6 + 6x) + 3(10x + -4x + -58) = 4(x + 6)

Reorder the terms:
6 + 6x + 3(-58 + 10x + -4x) = 4(x + 6)

Combine like terms: 10x + -4x = 6x
6 + 6x + 3(-58 + 6x) = 4(x + 6)
6 + 6x + (-58 * 3 + 6x * 3) = 4(x + 6)
6 + 6x + (-174 + 18x) = 4(x + 6)

Reorder the terms:
6 + -174 + 6x + 18x = 4(x + 6)

Combine like terms: 6 + -174 = -168
-168 + 6x + 18x = 4(x + 6)

Combine like terms: 6x + 18x = 24x
-168 + 24x = 4(x + 6)

Reorder the terms:
-168 + 24x = 4(6 + x)
-168 + 24x = (6 * 4 + x * 4)
-168 + 24x = (24 + 4x)

Solving
-168 + 24x = 24 + 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.
-168 + 24x + -4x = 24 + 4x + -4x

Combine like terms: 24x + -4x = 20x
-168 + 20x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-168 + 20x = 24 + 0
-168 + 20x = 24

Add '168' to each side of the equation.
-168 + 168 + 20x = 24 + 168

Combine like terms: -168 + 168 = 0
0 + 20x = 24 + 168
20x = 24 + 168

Combine like terms: 24 + 168 = 192
20x = 192

Divide each side by '20'.
x = 9.6

Simplifying
x = 9.6

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