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

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

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

Reorder the terms:
2(-7 + x) + -1(x + -3) = 4(x + 1)
(-7 * 2 + x * 2) + -1(x + -3) = 4(x + 1)
(-14 + 2x) + -1(x + -3) = 4(x + 1)

Reorder the terms:
-14 + 2x + -1(-3 + x) = 4(x + 1)
-14 + 2x + (-3 * -1 + x * -1) = 4(x + 1)
-14 + 2x + (3 + -1x) = 4(x + 1)

Reorder the terms:
-14 + 3 + 2x + -1x = 4(x + 1)

Combine like terms: -14 + 3 = -11
-11 + 2x + -1x = 4(x + 1)

Combine like terms: 2x + -1x = 1x
-11 + 1x = 4(x + 1)

Reorder the terms:
-11 + 1x = 4(1 + x)
-11 + 1x = (1 * 4 + x * 4)
-11 + 1x = (4 + 4x)

Solving
-11 + 1x = 4 + 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.
-11 + 1x + -4x = 4 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-11 + -3x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + -3x = 4 + 0
-11 + -3x = 4

Add '11' to each side of the equation.
-11 + 11 + -3x = 4 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 4 + 11
-3x = 4 + 11

Combine like terms: 4 + 11 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5