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

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


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

Reorder the terms:
7(3 + x) + 8(x + 3) = 5x + -5
(3 * 7 + x * 7) + 8(x + 3) = 5x + -5
(21 + 7x) + 8(x + 3) = 5x + -5

Reorder the terms:
21 + 7x + 8(3 + x) = 5x + -5
21 + 7x + (3 * 8 + x * 8) = 5x + -5
21 + 7x + (24 + 8x) = 5x + -5

Reorder the terms:
21 + 24 + 7x + 8x = 5x + -5

Combine like terms: 21 + 24 = 45
45 + 7x + 8x = 5x + -5

Combine like terms: 7x + 8x = 15x
45 + 15x = 5x + -5

Reorder the terms:
45 + 15x = -5 + 5x

Solving
45 + 15x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
45 + 15x + -5x = -5 + 5x + -5x

Combine like terms: 15x + -5x = 10x
45 + 10x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
45 + 10x = -5 + 0
45 + 10x = -5

Add '-45' to each side of the equation.
45 + -45 + 10x = -5 + -45

Combine like terms: 45 + -45 = 0
0 + 10x = -5 + -45
10x = -5 + -45

Combine like terms: -5 + -45 = -50
10x = -50

Divide each side by '10'.
x = -5

Simplifying
x = -5

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