40-7x=-8(x-5)-7

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Solution for 40-7x=-8(x-5)-7 equation:


Simplifying
40 + -7x = -8(x + -5) + -7

Reorder the terms:
40 + -7x = -8(-5 + x) + -7
40 + -7x = (-5 * -8 + x * -8) + -7
40 + -7x = (40 + -8x) + -7

Reorder the terms:
40 + -7x = 40 + -7 + -8x

Combine like terms: 40 + -7 = 33
40 + -7x = 33 + -8x

Solving
40 + -7x = 33 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
40 + -7x + 8x = 33 + -8x + 8x

Combine like terms: -7x + 8x = 1x
40 + 1x = 33 + -8x + 8x

Combine like terms: -8x + 8x = 0
40 + 1x = 33 + 0
40 + 1x = 33

Add '-40' to each side of the equation.
40 + -40 + 1x = 33 + -40

Combine like terms: 40 + -40 = 0
0 + 1x = 33 + -40
1x = 33 + -40

Combine like terms: 33 + -40 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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