3(x-1)-(4x-7)=2(4x-1)-3

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Solution for 3(x-1)-(4x-7)=2(4x-1)-3 equation:


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

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

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

Reorder the terms:
-3 + 7 + 3x + -4x = 2(4x + -1) + -3

Combine like terms: -3 + 7 = 4
4 + 3x + -4x = 2(4x + -1) + -3

Combine like terms: 3x + -4x = -1x
4 + -1x = 2(4x + -1) + -3

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

Reorder the terms:
4 + -1x = -2 + -3 + 8x

Combine like terms: -2 + -3 = -5
4 + -1x = -5 + 8x

Solving
4 + -1x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + -1x + -8x = -5 + 8x + -8x

Combine like terms: -1x + -8x = -9x
4 + -9x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -9x = -5 + 0
4 + -9x = -5

Add '-4' to each side of the equation.
4 + -4 + -9x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = -5 + -4
-9x = -5 + -4

Combine like terms: -5 + -4 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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