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

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


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

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

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

Reorder the terms:
-8 + 4x = -12 + -10 + -3x

Combine like terms: -12 + -10 = -22
-8 + 4x = -22 + -3x

Solving
-8 + 4x = -22 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 4x + 3x = -22 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-8 + 7x = -22 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 7x = -22 + 0
-8 + 7x = -22

Add '8' to each side of the equation.
-8 + 8 + 7x = -22 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = -22 + 8
7x = -22 + 8

Combine like terms: -22 + 8 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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