7(x+5)-8(x+7)=3

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Solution for 7(x+5)-8(x+7)=3 equation:


Simplifying
7(x + 5) + -8(x + 7) = 3

Reorder the terms:
7(5 + x) + -8(x + 7) = 3
(5 * 7 + x * 7) + -8(x + 7) = 3
(35 + 7x) + -8(x + 7) = 3

Reorder the terms:
35 + 7x + -8(7 + x) = 3
35 + 7x + (7 * -8 + x * -8) = 3
35 + 7x + (-56 + -8x) = 3

Reorder the terms:
35 + -56 + 7x + -8x = 3

Combine like terms: 35 + -56 = -21
-21 + 7x + -8x = 3

Combine like terms: 7x + -8x = -1x
-21 + -1x = 3

Solving
-21 + -1x = 3

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 3 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 3 + 21
-1x = 3 + 21

Combine like terms: 3 + 21 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24

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