8(x-4)=-7(x+2)+36

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Solution for 8(x-4)=-7(x+2)+36 equation:


Simplifying
8(x + -4) = -7(x + 2) + 36

Reorder the terms:
8(-4 + x) = -7(x + 2) + 36
(-4 * 8 + x * 8) = -7(x + 2) + 36
(-32 + 8x) = -7(x + 2) + 36

Reorder the terms:
-32 + 8x = -7(2 + x) + 36
-32 + 8x = (2 * -7 + x * -7) + 36
-32 + 8x = (-14 + -7x) + 36

Reorder the terms:
-32 + 8x = -14 + 36 + -7x

Combine like terms: -14 + 36 = 22
-32 + 8x = 22 + -7x

Solving
-32 + 8x = 22 + -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.
-32 + 8x + 7x = 22 + -7x + 7x

Combine like terms: 8x + 7x = 15x
-32 + 15x = 22 + -7x + 7x

Combine like terms: -7x + 7x = 0
-32 + 15x = 22 + 0
-32 + 15x = 22

Add '32' to each side of the equation.
-32 + 32 + 15x = 22 + 32

Combine like terms: -32 + 32 = 0
0 + 15x = 22 + 32
15x = 22 + 32

Combine like terms: 22 + 32 = 54
15x = 54

Divide each side by '15'.
x = 3.6

Simplifying
x = 3.6

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