4(x-2)=-3x+13

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Solution for 4(x-2)=-3x+13 equation: 


Simplifying
4(x + -2) = -3x + 13

Reorder the terms:
4(-2 + x) = -3x + 13
(-2 * 4 + x * 4) = -3x + 13
(-8 + 4x) = -3x + 13

Reorder the terms:
-8 + 4x = 13 + -3x

Solving
-8 + 4x = 13 + -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 = 13 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-8 + 7x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 7x = 13 + 0
-8 + 7x = 13

Add '8' to each side of the equation.
-8 + 8 + 7x = 13 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 13 + 8
7x = 13 + 8

Combine like terms: 13 + 8 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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