2(4x+42)+6(2x-13)=5(2x-14)+4(2x+18)

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Solution for 2(4x+42)+6(2x-13)=5(2x-14)+4(2x+18) equation: 


Simplifying
2(4x + 42) + 6(2x + -13) = 5(2x + -14) + 4(2x + 18)

Reorder the terms:
2(42 + 4x) + 6(2x + -13) = 5(2x + -14) + 4(2x + 18)
(42 * 2 + 4x * 2) + 6(2x + -13) = 5(2x + -14) + 4(2x + 18)
(84 + 8x) + 6(2x + -13) = 5(2x + -14) + 4(2x + 18)

Reorder the terms:
84 + 8x + 6(-13 + 2x) = 5(2x + -14) + 4(2x + 18)
84 + 8x + (-13 * 6 + 2x * 6) = 5(2x + -14) + 4(2x + 18)
84 + 8x + (-78 + 12x) = 5(2x + -14) + 4(2x + 18)

Reorder the terms:
84 + -78 + 8x + 12x = 5(2x + -14) + 4(2x + 18)

Combine like terms: 84 + -78 = 6
6 + 8x + 12x = 5(2x + -14) + 4(2x + 18)

Combine like terms: 8x + 12x = 20x
6 + 20x = 5(2x + -14) + 4(2x + 18)

Reorder the terms:
6 + 20x = 5(-14 + 2x) + 4(2x + 18)
6 + 20x = (-14 * 5 + 2x * 5) + 4(2x + 18)
6 + 20x = (-70 + 10x) + 4(2x + 18)

Reorder the terms:
6 + 20x = -70 + 10x + 4(18 + 2x)
6 + 20x = -70 + 10x + (18 * 4 + 2x * 4)
6 + 20x = -70 + 10x + (72 + 8x)

Reorder the terms:
6 + 20x = -70 + 72 + 10x + 8x

Combine like terms: -70 + 72 = 2
6 + 20x = 2 + 10x + 8x

Combine like terms: 10x + 8x = 18x
6 + 20x = 2 + 18x

Solving
6 + 20x = 2 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
6 + 20x + -18x = 2 + 18x + -18x

Combine like terms: 20x + -18x = 2x
6 + 2x = 2 + 18x + -18x

Combine like terms: 18x + -18x = 0
6 + 2x = 2 + 0
6 + 2x = 2

Add '-6' to each side of the equation.
6 + -6 + 2x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 2 + -6
2x = 2 + -6

Combine like terms: 2 + -6 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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