3(x-4)-(8x-7)=2x+5

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Solution for 3(x-4)-(8x-7)=2x+5 equation:


Simplifying
3(x + -4) + -1(8x + -7) = 2x + 5

Reorder the terms:
3(-4 + x) + -1(8x + -7) = 2x + 5
(-4 * 3 + x * 3) + -1(8x + -7) = 2x + 5
(-12 + 3x) + -1(8x + -7) = 2x + 5

Reorder the terms:
-12 + 3x + -1(-7 + 8x) = 2x + 5
-12 + 3x + (-7 * -1 + 8x * -1) = 2x + 5
-12 + 3x + (7 + -8x) = 2x + 5

Reorder the terms:
-12 + 7 + 3x + -8x = 2x + 5

Combine like terms: -12 + 7 = -5
-5 + 3x + -8x = 2x + 5

Combine like terms: 3x + -8x = -5x
-5 + -5x = 2x + 5

Reorder the terms:
-5 + -5x = 5 + 2x

Solving
-5 + -5x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + -5x + -2x = 5 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-5 + -7x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + -7x = 5 + 0
-5 + -7x = 5

Add '5' to each side of the equation.
-5 + 5 + -7x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = 5 + 5
-7x = 5 + 5

Combine like terms: 5 + 5 = 10
-7x = 10

Divide each side by '-7'.
x = -1.428571429

Simplifying
x = -1.428571429

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