5(x+7)+3(x-2)=

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Solution for 5(x+7)+3(x-2)= equation:


Simplifying
5(x + 7) + 3(x + -2) = 0

Reorder the terms:
5(7 + x) + 3(x + -2) = 0
(7 * 5 + x * 5) + 3(x + -2) = 0
(35 + 5x) + 3(x + -2) = 0

Reorder the terms:
35 + 5x + 3(-2 + x) = 0
35 + 5x + (-2 * 3 + x * 3) = 0
35 + 5x + (-6 + 3x) = 0

Reorder the terms:
35 + -6 + 5x + 3x = 0

Combine like terms: 35 + -6 = 29
29 + 5x + 3x = 0

Combine like terms: 5x + 3x = 8x
29 + 8x = 0

Solving
29 + 8x = 0

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 8x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 8x = 0 + -29
8x = 0 + -29

Combine like terms: 0 + -29 = -29
8x = -29

Divide each side by '8'.
x = -3.625

Simplifying
x = -3.625

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