4(x-5)=-3x+43

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Solution for 4(x-5)=-3x+43 equation:


Simplifying
4(x + -5) = -3x + 43

Reorder the terms:
4(-5 + x) = -3x + 43
(-5 * 4 + x * 4) = -3x + 43
(-20 + 4x) = -3x + 43

Reorder the terms:
-20 + 4x = 43 + -3x

Solving
-20 + 4x = 43 + -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.
-20 + 4x + 3x = 43 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-20 + 7x = 43 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 7x = 43 + 0
-20 + 7x = 43

Add '20' to each side of the equation.
-20 + 20 + 7x = 43 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 43 + 20
7x = 43 + 20

Combine like terms: 43 + 20 = 63
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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