4(x-5)=7x-41

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Solution for 4(x-5)=7x-41 equation:


Simplifying
4(x + -5) = 7x + -41

Reorder the terms:
4(-5 + x) = 7x + -41
(-5 * 4 + x * 4) = 7x + -41
(-20 + 4x) = 7x + -41

Reorder the terms:
-20 + 4x = -41 + 7x

Solving
-20 + 4x = -41 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-20 + 4x + -7x = -41 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-20 + -3x = -41 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + -3x = -41 + 0
-20 + -3x = -41

Add '20' to each side of the equation.
-20 + 20 + -3x = -41 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = -41 + 20
-3x = -41 + 20

Combine like terms: -41 + 20 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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