40-4(x-3)=7x-5

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Solution for 40-4(x-3)=7x-5 equation:


Simplifying
40 + -4(x + -3) = 7x + -5

Reorder the terms:
40 + -4(-3 + x) = 7x + -5
40 + (-3 * -4 + x * -4) = 7x + -5
40 + (12 + -4x) = 7x + -5

Combine like terms: 40 + 12 = 52
52 + -4x = 7x + -5

Reorder the terms:
52 + -4x = -5 + 7x

Solving
52 + -4x = -5 + 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.
52 + -4x + -7x = -5 + 7x + -7x

Combine like terms: -4x + -7x = -11x
52 + -11x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
52 + -11x = -5 + 0
52 + -11x = -5

Add '-52' to each side of the equation.
52 + -52 + -11x = -5 + -52

Combine like terms: 52 + -52 = 0
0 + -11x = -5 + -52
-11x = -5 + -52

Combine like terms: -5 + -52 = -57
-11x = -57

Divide each side by '-11'.
x = 5.181818182

Simplifying
x = 5.181818182

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