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

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


Simplifying
10 + -3(4 + 2x) = 3(x + 6) + -4(2x + 10)
10 + (4 * -3 + 2x * -3) = 3(x + 6) + -4(2x + 10)
10 + (-12 + -6x) = 3(x + 6) + -4(2x + 10)

Combine like terms: 10 + -12 = -2
-2 + -6x = 3(x + 6) + -4(2x + 10)

Reorder the terms:
-2 + -6x = 3(6 + x) + -4(2x + 10)
-2 + -6x = (6 * 3 + x * 3) + -4(2x + 10)
-2 + -6x = (18 + 3x) + -4(2x + 10)

Reorder the terms:
-2 + -6x = 18 + 3x + -4(10 + 2x)
-2 + -6x = 18 + 3x + (10 * -4 + 2x * -4)
-2 + -6x = 18 + 3x + (-40 + -8x)

Reorder the terms:
-2 + -6x = 18 + -40 + 3x + -8x

Combine like terms: 18 + -40 = -22
-2 + -6x = -22 + 3x + -8x

Combine like terms: 3x + -8x = -5x
-2 + -6x = -22 + -5x

Solving
-2 + -6x = -22 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + -6x + 5x = -22 + -5x + 5x

Combine like terms: -6x + 5x = -1x
-2 + -1x = -22 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + -1x = -22 + 0
-2 + -1x = -22

Add '2' to each side of the equation.
-2 + 2 + -1x = -22 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -22 + 2
-1x = -22 + 2

Combine like terms: -22 + 2 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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