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

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


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

Reorder the terms:
3(-7 + x) + -1 = -4(-5x + 4) + -1x
(-7 * 3 + x * 3) + -1 = -4(-5x + 4) + -1x
(-21 + 3x) + -1 = -4(-5x + 4) + -1x

Reorder the terms:
-21 + -1 + 3x = -4(-5x + 4) + -1x

Combine like terms: -21 + -1 = -22
-22 + 3x = -4(-5x + 4) + -1x

Reorder the terms:
-22 + 3x = -4(4 + -5x) + -1x
-22 + 3x = (4 * -4 + -5x * -4) + -1x
-22 + 3x = (-16 + 20x) + -1x

Combine like terms: 20x + -1x = 19x
-22 + 3x = -16 + 19x

Solving
-22 + 3x = -16 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-22 + 3x + -19x = -16 + 19x + -19x

Combine like terms: 3x + -19x = -16x
-22 + -16x = -16 + 19x + -19x

Combine like terms: 19x + -19x = 0
-22 + -16x = -16 + 0
-22 + -16x = -16

Add '22' to each side of the equation.
-22 + 22 + -16x = -16 + 22

Combine like terms: -22 + 22 = 0
0 + -16x = -16 + 22
-16x = -16 + 22

Combine like terms: -16 + 22 = 6
-16x = 6

Divide each side by '-16'.
x = -0.375

Simplifying
x = -0.375

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