8(x-7)-5(x+4)-(19-x)+71=0

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Solution for 8(x-7)-5(x+4)-(19-x)+71=0 equation:


Simplifying
8(x + -7) + -5(x + 4) + -1(19 + -1x) + 71 = 0

Reorder the terms:
8(-7 + x) + -5(x + 4) + -1(19 + -1x) + 71 = 0
(-7 * 8 + x * 8) + -5(x + 4) + -1(19 + -1x) + 71 = 0
(-56 + 8x) + -5(x + 4) + -1(19 + -1x) + 71 = 0

Reorder the terms:
-56 + 8x + -5(4 + x) + -1(19 + -1x) + 71 = 0
-56 + 8x + (4 * -5 + x * -5) + -1(19 + -1x) + 71 = 0
-56 + 8x + (-20 + -5x) + -1(19 + -1x) + 71 = 0
-56 + 8x + -20 + -5x + (19 * -1 + -1x * -1) + 71 = 0
-56 + 8x + -20 + -5x + (-19 + 1x) + 71 = 0

Reorder the terms:
-56 + -20 + -19 + 71 + 8x + -5x + 1x = 0

Combine like terms: -56 + -20 = -76
-76 + -19 + 71 + 8x + -5x + 1x = 0

Combine like terms: -76 + -19 = -95
-95 + 71 + 8x + -5x + 1x = 0

Combine like terms: -95 + 71 = -24
-24 + 8x + -5x + 1x = 0

Combine like terms: 8x + -5x = 3x
-24 + 3x + 1x = 0

Combine like terms: 3x + 1x = 4x
-24 + 4x = 0

Solving
-24 + 4x = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 4x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = 0 + 24
4x = 0 + 24

Combine like terms: 0 + 24 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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