5(x+2)+3=-8(x-7)-10

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Solution for 5(x+2)+3=-8(x-7)-10 equation:


Simplifying
5(x + 2) + 3 = -8(x + -7) + -10

Reorder the terms:
5(2 + x) + 3 = -8(x + -7) + -10
(2 * 5 + x * 5) + 3 = -8(x + -7) + -10
(10 + 5x) + 3 = -8(x + -7) + -10

Reorder the terms:
10 + 3 + 5x = -8(x + -7) + -10

Combine like terms: 10 + 3 = 13
13 + 5x = -8(x + -7) + -10

Reorder the terms:
13 + 5x = -8(-7 + x) + -10
13 + 5x = (-7 * -8 + x * -8) + -10
13 + 5x = (56 + -8x) + -10

Reorder the terms:
13 + 5x = 56 + -10 + -8x

Combine like terms: 56 + -10 = 46
13 + 5x = 46 + -8x

Solving
13 + 5x = 46 + -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.
13 + 5x + 8x = 46 + -8x + 8x

Combine like terms: 5x + 8x = 13x
13 + 13x = 46 + -8x + 8x

Combine like terms: -8x + 8x = 0
13 + 13x = 46 + 0
13 + 13x = 46

Add '-13' to each side of the equation.
13 + -13 + 13x = 46 + -13

Combine like terms: 13 + -13 = 0
0 + 13x = 46 + -13
13x = 46 + -13

Combine like terms: 46 + -13 = 33
13x = 33

Divide each side by '13'.
x = 2.538461538

Simplifying
x = 2.538461538

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