3(x-5)-3=40-4x

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Solution for 3(x-5)-3=40-4x equation:


Simplifying
3(x + -5) + -3 = 40 + -4x

Reorder the terms:
3(-5 + x) + -3 = 40 + -4x
(-5 * 3 + x * 3) + -3 = 40 + -4x
(-15 + 3x) + -3 = 40 + -4x

Reorder the terms:
-15 + -3 + 3x = 40 + -4x

Combine like terms: -15 + -3 = -18
-18 + 3x = 40 + -4x

Solving
-18 + 3x = 40 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-18 + 3x + 4x = 40 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-18 + 7x = 40 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 7x = 40 + 0
-18 + 7x = 40

Add '18' to each side of the equation.
-18 + 18 + 7x = 40 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = 40 + 18
7x = 40 + 18

Combine like terms: 40 + 18 = 58
7x = 58

Divide each side by '7'.
x = 8.285714286

Simplifying
x = 8.285714286

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