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

Solution for 10(x+4)-4(x-2)=3(x-1)+2(x-3) equation:

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

Reorder the terms:
10(4 + x) + -4(x + -2) = 3(x + -1) + 2(x + -3)
(4 * 10 + x * 10) + -4(x + -2) = 3(x + -1) + 2(x + -3)
(40 + 10x) + -4(x + -2) = 3(x + -1) + 2(x + -3)

Reorder the terms:
40 + 10x + -4(-2 + x) = 3(x + -1) + 2(x + -3)
40 + 10x + (-2 * -4 + x * -4) = 3(x + -1) + 2(x + -3)
40 + 10x + (8 + -4x) = 3(x + -1) + 2(x + -3)

Reorder the terms:
40 + 8 + 10x + -4x = 3(x + -1) + 2(x + -3)

Combine like terms: 40 + 8 = 48
48 + 10x + -4x = 3(x + -1) + 2(x + -3)

Combine like terms: 10x + -4x = 6x
48 + 6x = 3(x + -1) + 2(x + -3)

Reorder the terms:
48 + 6x = 3(-1 + x) + 2(x + -3)
48 + 6x = (-1 * 3 + x * 3) + 2(x + -3)
48 + 6x = (-3 + 3x) + 2(x + -3)

Reorder the terms:
48 + 6x = -3 + 3x + 2(-3 + x)
48 + 6x = -3 + 3x + (-3 * 2 + x * 2)
48 + 6x = -3 + 3x + (-6 + 2x)

Reorder the terms:
48 + 6x = -3 + -6 + 3x + 2x

Combine like terms: -3 + -6 = -9
48 + 6x = -9 + 3x + 2x

Combine like terms: 3x + 2x = 5x
48 + 6x = -9 + 5x

Solving
48 + 6x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
48 + 6x + -5x = -9 + 5x + -5x

Combine like terms: 6x + -5x = 1x
48 + 1x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
48 + 1x = -9 + 0
48 + 1x = -9

Add '-48' to each side of the equation.
48 + -48 + 1x = -9 + -48

Combine like terms: 48 + -48 = 0
0 + 1x = -9 + -48
1x = -9 + -48

Combine like terms: -9 + -48 = -57
1x = -57

Divide each side by '1'.
x = -57

Simplifying
x = -57