7(x+3)+3(-5x+2)=-29

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Solution for 7(x+3)+3(-5x+2)=-29 equation:


Simplifying
7(x + 3) + 3(-5x + 2) = -29

Reorder the terms:
7(3 + x) + 3(-5x + 2) = -29
(3 * 7 + x * 7) + 3(-5x + 2) = -29
(21 + 7x) + 3(-5x + 2) = -29

Reorder the terms:
21 + 7x + 3(2 + -5x) = -29
21 + 7x + (2 * 3 + -5x * 3) = -29
21 + 7x + (6 + -15x) = -29

Reorder the terms:
21 + 6 + 7x + -15x = -29

Combine like terms: 21 + 6 = 27
27 + 7x + -15x = -29

Combine like terms: 7x + -15x = -8x
27 + -8x = -29

Solving
27 + -8x = -29

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -8x = -29 + -27

Combine like terms: 27 + -27 = 0
0 + -8x = -29 + -27
-8x = -29 + -27

Combine like terms: -29 + -27 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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