2(3x-12)-6(5x-37)+3(7x+16)=10(2x+4)+2(6x-37)

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Solution for 2(3x-12)-6(5x-37)+3(7x+16)=10(2x+4)+2(6x-37) equation:


Simplifying
2(3x + -12) + -6(5x + -37) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37)

Reorder the terms:
2(-12 + 3x) + -6(5x + -37) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37)
(-12 * 2 + 3x * 2) + -6(5x + -37) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37)
(-24 + 6x) + -6(5x + -37) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37)

Reorder the terms:
-24 + 6x + -6(-37 + 5x) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37)
-24 + 6x + (-37 * -6 + 5x * -6) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37)
-24 + 6x + (222 + -30x) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37)

Reorder the terms:
-24 + 6x + 222 + -30x + 3(16 + 7x) = 10(2x + 4) + 2(6x + -37)
-24 + 6x + 222 + -30x + (16 * 3 + 7x * 3) = 10(2x + 4) + 2(6x + -37)
-24 + 6x + 222 + -30x + (48 + 21x) = 10(2x + 4) + 2(6x + -37)

Reorder the terms:
-24 + 222 + 48 + 6x + -30x + 21x = 10(2x + 4) + 2(6x + -37)

Combine like terms: -24 + 222 = 198
198 + 48 + 6x + -30x + 21x = 10(2x + 4) + 2(6x + -37)

Combine like terms: 198 + 48 = 246
246 + 6x + -30x + 21x = 10(2x + 4) + 2(6x + -37)

Combine like terms: 6x + -30x = -24x
246 + -24x + 21x = 10(2x + 4) + 2(6x + -37)

Combine like terms: -24x + 21x = -3x
246 + -3x = 10(2x + 4) + 2(6x + -37)

Reorder the terms:
246 + -3x = 10(4 + 2x) + 2(6x + -37)
246 + -3x = (4 * 10 + 2x * 10) + 2(6x + -37)
246 + -3x = (40 + 20x) + 2(6x + -37)

Reorder the terms:
246 + -3x = 40 + 20x + 2(-37 + 6x)
246 + -3x = 40 + 20x + (-37 * 2 + 6x * 2)
246 + -3x = 40 + 20x + (-74 + 12x)

Reorder the terms:
246 + -3x = 40 + -74 + 20x + 12x

Combine like terms: 40 + -74 = -34
246 + -3x = -34 + 20x + 12x

Combine like terms: 20x + 12x = 32x
246 + -3x = -34 + 32x

Solving
246 + -3x = -34 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
246 + -3x + -32x = -34 + 32x + -32x

Combine like terms: -3x + -32x = -35x
246 + -35x = -34 + 32x + -32x

Combine like terms: 32x + -32x = 0
246 + -35x = -34 + 0
246 + -35x = -34

Add '-246' to each side of the equation.
246 + -246 + -35x = -34 + -246

Combine like terms: 246 + -246 = 0
0 + -35x = -34 + -246
-35x = -34 + -246

Combine like terms: -34 + -246 = -280
-35x = -280

Divide each side by '-35'.
x = 8

Simplifying
x = 8

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