4(x-2)-3(x+1)=10

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Solution for 4(x-2)-3(x+1)=10 equation: 


Simplifying
4(x + -2) + -3(x + 1) = 10

Reorder the terms:
4(-2 + x) + -3(x + 1) = 10
(-2 * 4 + x * 4) + -3(x + 1) = 10
(-8 + 4x) + -3(x + 1) = 10

Reorder the terms:
-8 + 4x + -3(1 + x) = 10
-8 + 4x + (1 * -3 + x * -3) = 10
-8 + 4x + (-3 + -3x) = 10

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

Combine like terms: -8 + -3 = -11
-11 + 4x + -3x = 10

Combine like terms: 4x + -3x = 1x
-11 + 1x = 10

Solving
-11 + 1x = 10

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 1x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = 10 + 11
1x = 10 + 11

Combine like terms: 10 + 11 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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