8(x-7)+5=3(x+6)-12

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Solution for 8(x-7)+5=3(x+6)-12 equation:


Simplifying
8(x + -7) + 5 = 3(x + 6) + -12

Reorder the terms:
8(-7 + x) + 5 = 3(x + 6) + -12
(-7 * 8 + x * 8) + 5 = 3(x + 6) + -12
(-56 + 8x) + 5 = 3(x + 6) + -12

Reorder the terms:
-56 + 5 + 8x = 3(x + 6) + -12

Combine like terms: -56 + 5 = -51
-51 + 8x = 3(x + 6) + -12

Reorder the terms:
-51 + 8x = 3(6 + x) + -12
-51 + 8x = (6 * 3 + x * 3) + -12
-51 + 8x = (18 + 3x) + -12

Reorder the terms:
-51 + 8x = 18 + -12 + 3x

Combine like terms: 18 + -12 = 6
-51 + 8x = 6 + 3x

Solving
-51 + 8x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-51 + 8x + -3x = 6 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-51 + 5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-51 + 5x = 6 + 0
-51 + 5x = 6

Add '51' to each side of the equation.
-51 + 51 + 5x = 6 + 51

Combine like terms: -51 + 51 = 0
0 + 5x = 6 + 51
5x = 6 + 51

Combine like terms: 6 + 51 = 57
5x = 57

Divide each side by '5'.
x = 11.4

Simplifying
x = 11.4

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