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

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


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

Reorder the terms:
3(-2 + x) + -4(2 + 3x) = x + 10
(-2 * 3 + x * 3) + -4(2 + 3x) = x + 10
(-6 + 3x) + -4(2 + 3x) = x + 10
-6 + 3x + (2 * -4 + 3x * -4) = x + 10
-6 + 3x + (-8 + -12x) = x + 10

Reorder the terms:
-6 + -8 + 3x + -12x = x + 10

Combine like terms: -6 + -8 = -14
-14 + 3x + -12x = x + 10

Combine like terms: 3x + -12x = -9x
-14 + -9x = x + 10

Reorder the terms:
-14 + -9x = 10 + x

Solving
-14 + -9x = 10 + 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.
-14 + -9x + -1x = 10 + x + -1x

Combine like terms: -9x + -1x = -10x
-14 + -10x = 10 + x + -1x

Combine like terms: x + -1x = 0
-14 + -10x = 10 + 0
-14 + -10x = 10

Add '14' to each side of the equation.
-14 + 14 + -10x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -10x = 10 + 14
-10x = 10 + 14

Combine like terms: 10 + 14 = 24
-10x = 24

Divide each side by '-10'.
x = -2.4

Simplifying
x = -2.4

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