40-5(7-x)=3(x+1)

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Solution for 40-5(7-x)=3(x+1) equation:


Simplifying
40 + -5(7 + -1x) = 3(x + 1)
40 + (7 * -5 + -1x * -5) = 3(x + 1)
40 + (-35 + 5x) = 3(x + 1)

Combine like terms: 40 + -35 = 5
5 + 5x = 3(x + 1)

Reorder the terms:
5 + 5x = 3(1 + x)
5 + 5x = (1 * 3 + x * 3)
5 + 5x = (3 + 3x)

Solving
5 + 5x = 3 + 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.
5 + 5x + -3x = 3 + 3x + -3x

Combine like terms: 5x + -3x = 2x
5 + 2x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 2x = 3 + 0
5 + 2x = 3

Add '-5' to each side of the equation.
5 + -5 + 2x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 3 + -5
2x = 3 + -5

Combine like terms: 3 + -5 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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