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

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Solution for 8(x-3)=-7(x+2)+29 equation:


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

Reorder the terms:
8(-3 + x) = -7(x + 2) + 29
(-3 * 8 + x * 8) = -7(x + 2) + 29
(-24 + 8x) = -7(x + 2) + 29

Reorder the terms:
-24 + 8x = -7(2 + x) + 29
-24 + 8x = (2 * -7 + x * -7) + 29
-24 + 8x = (-14 + -7x) + 29

Reorder the terms:
-24 + 8x = -14 + 29 + -7x

Combine like terms: -14 + 29 = 15
-24 + 8x = 15 + -7x

Solving
-24 + 8x = 15 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-24 + 8x + 7x = 15 + -7x + 7x

Combine like terms: 8x + 7x = 15x
-24 + 15x = 15 + -7x + 7x

Combine like terms: -7x + 7x = 0
-24 + 15x = 15 + 0
-24 + 15x = 15

Add '24' to each side of the equation.
-24 + 24 + 15x = 15 + 24

Combine like terms: -24 + 24 = 0
0 + 15x = 15 + 24
15x = 15 + 24

Combine like terms: 15 + 24 = 39
15x = 39

Divide each side by '15'.
x = 2.6

Simplifying
x = 2.6

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