3(x+1)-8x=10-(4x-7)

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Solution for 3(x+1)-8x=10-(4x-7) equation:


Simplifying
3(x + 1) + -8x = 10 + -1(4x + -7)

Reorder the terms:
3(1 + x) + -8x = 10 + -1(4x + -7)
(1 * 3 + x * 3) + -8x = 10 + -1(4x + -7)
(3 + 3x) + -8x = 10 + -1(4x + -7)

Combine like terms: 3x + -8x = -5x
3 + -5x = 10 + -1(4x + -7)

Reorder the terms:
3 + -5x = 10 + -1(-7 + 4x)
3 + -5x = 10 + (-7 * -1 + 4x * -1)
3 + -5x = 10 + (7 + -4x)

Combine like terms: 10 + 7 = 17
3 + -5x = 17 + -4x

Solving
3 + -5x = 17 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3 + -5x + 4x = 17 + -4x + 4x

Combine like terms: -5x + 4x = -1x
3 + -1x = 17 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + -1x = 17 + 0
3 + -1x = 17

Add '-3' to each side of the equation.
3 + -3 + -1x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 17 + -3
-1x = 17 + -3

Combine like terms: 17 + -3 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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