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

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


Simplifying
5x + 4(3 + -2x) = 2 + x + -10
5x + (3 * 4 + -2x * 4) = 2 + x + -10
5x + (12 + -8x) = 2 + x + -10

Reorder the terms:
12 + 5x + -8x = 2 + x + -10

Combine like terms: 5x + -8x = -3x
12 + -3x = 2 + x + -10

Reorder the terms:
12 + -3x = 2 + -10 + x

Combine like terms: 2 + -10 = -8
12 + -3x = -8 + x

Solving
12 + -3x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -3x + -1x = -8 + x + -1x

Combine like terms: -3x + -1x = -4x
12 + -4x = -8 + x + -1x

Combine like terms: x + -1x = 0
12 + -4x = -8 + 0
12 + -4x = -8

Add '-12' to each side of the equation.
12 + -12 + -4x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -8 + -12
-4x = -8 + -12

Combine like terms: -8 + -12 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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