4(x-1)-(5x-7)=3(4x-1)-7

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Solution for 4(x-1)-(5x-7)=3(4x-1)-7 equation:


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

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

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

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

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

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

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

Reorder the terms:
3 + -1x = -3 + -7 + 12x

Combine like terms: -3 + -7 = -10
3 + -1x = -10 + 12x

Solving
3 + -1x = -10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
3 + -1x + -12x = -10 + 12x + -12x

Combine like terms: -1x + -12x = -13x
3 + -13x = -10 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -13x = -10 + 0
3 + -13x = -10

Add '-3' to each side of the equation.
3 + -3 + -13x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -13x = -10 + -3
-13x = -10 + -3

Combine like terms: -10 + -3 = -13
-13x = -13

Divide each side by '-13'.
x = 1

Simplifying
x = 1

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