3(x-2)-(4x-7)=4(5x-1)-16

Solution for 3(x-2)-(4x-7)=4(5x-1)-16 equation:

Simplifying
3(x + -2) + -1(4x + -7) = 4(5x + -1) + -16

Reorder the terms:
3(-2 + x) + -1(4x + -7) = 4(5x + -1) + -16
(-2 * 3 + x * 3) + -1(4x + -7) = 4(5x + -1) + -16
(-6 + 3x) + -1(4x + -7) = 4(5x + -1) + -16

Reorder the terms:
-6 + 3x + -1(-7 + 4x) = 4(5x + -1) + -16
-6 + 3x + (-7 * -1 + 4x * -1) = 4(5x + -1) + -16
-6 + 3x + (7 + -4x) = 4(5x + -1) + -16

Reorder the terms:
-6 + 7 + 3x + -4x = 4(5x + -1) + -16

Combine like terms: -6 + 7 = 1
1 + 3x + -4x = 4(5x + -1) + -16

Combine like terms: 3x + -4x = -1x
1 + -1x = 4(5x + -1) + -16

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

Reorder the terms:
1 + -1x = -4 + -16 + 20x

Combine like terms: -4 + -16 = -20
1 + -1x = -20 + 20x

Solving
1 + -1x = -20 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
1 + -1x + -20x = -20 + 20x + -20x

Combine like terms: -1x + -20x = -21x
1 + -21x = -20 + 20x + -20x

Combine like terms: 20x + -20x = 0
1 + -21x = -20 + 0
1 + -21x = -20

Add '-1' to each side of the equation.
1 + -1 + -21x = -20 + -1

Combine like terms: 1 + -1 = 0
0 + -21x = -20 + -1
-21x = -20 + -1

Combine like terms: -20 + -1 = -21
-21x = -21

Divide each side by '-21'.
x = 1

Simplifying
x = 1