8(x-1)=-7(x+2)+33

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Solution for 8(x-1)=-7(x+2)+33 equation: 


Simplifying
8(x + -1) = -7(x + 2) + 33

Reorder the terms:
8(-1 + x) = -7(x + 2) + 33
(-1 * 8 + x * 8) = -7(x + 2) + 33
(-8 + 8x) = -7(x + 2) + 33

Reorder the terms:
-8 + 8x = -7(2 + x) + 33
-8 + 8x = (2 * -7 + x * -7) + 33
-8 + 8x = (-14 + -7x) + 33

Reorder the terms:
-8 + 8x = -14 + 33 + -7x

Combine like terms: -14 + 33 = 19
-8 + 8x = 19 + -7x

Solving
-8 + 8x = 19 + -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.
-8 + 8x + 7x = 19 + -7x + 7x

Combine like terms: 8x + 7x = 15x
-8 + 15x = 19 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 15x = 19 + 0
-8 + 15x = 19

Add '8' to each side of the equation.
-8 + 8 + 15x = 19 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = 19 + 8
15x = 19 + 8

Combine like terms: 19 + 8 = 27
15x = 27

Divide each side by '15'.
x = 1.8

Simplifying
x = 1.8

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