4(x-3)-3(x+3)=-1(8-3x)+1(4x-7)

Solution for 4(x-3)-3(x+3)=-1(8-3x)+1(4x-7) equation:

Simplifying
4(x + -3) + -3(x + 3) = -1(8 + -3x) + 1(4x + -7)

Reorder the terms:
4(-3 + x) + -3(x + 3) = -1(8 + -3x) + 1(4x + -7)
(-3 * 4 + x * 4) + -3(x + 3) = -1(8 + -3x) + 1(4x + -7)
(-12 + 4x) + -3(x + 3) = -1(8 + -3x) + 1(4x + -7)

Reorder the terms:
-12 + 4x + -3(3 + x) = -1(8 + -3x) + 1(4x + -7)
-12 + 4x + (3 * -3 + x * -3) = -1(8 + -3x) + 1(4x + -7)
-12 + 4x + (-9 + -3x) = -1(8 + -3x) + 1(4x + -7)

Reorder the terms:
-12 + -9 + 4x + -3x = -1(8 + -3x) + 1(4x + -7)

Combine like terms: -12 + -9 = -21
-21 + 4x + -3x = -1(8 + -3x) + 1(4x + -7)

Combine like terms: 4x + -3x = 1x
-21 + 1x = -1(8 + -3x) + 1(4x + -7)
-21 + 1x = (8 * -1 + -3x * -1) + 1(4x + -7)
-21 + 1x = (-8 + 3x) + 1(4x + -7)

Reorder the terms:
-21 + 1x = -8 + 3x + 1(-7 + 4x)
-21 + 1x = -8 + 3x + (-7 * 1 + 4x * 1)
-21 + 1x = -8 + 3x + (-7 + 4x)

Reorder the terms:
-21 + 1x = -8 + -7 + 3x + 4x

Combine like terms: -8 + -7 = -15
-21 + 1x = -15 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-21 + 1x = -15 + 7x

Solving
-21 + 1x = -15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-21 + 1x + -7x = -15 + 7x + -7x

Combine like terms: 1x + -7x = -6x
-21 + -6x = -15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-21 + -6x = -15 + 0
-21 + -6x = -15

Add '21' to each side of the equation.
-21 + 21 + -6x = -15 + 21

Combine like terms: -21 + 21 = 0
0 + -6x = -15 + 21
-6x = -15 + 21

Combine like terms: -15 + 21 = 6
-6x = 6

Divide each side by '-6'.
x = -1

Simplifying
x = -1