4(x-1)-3[2(2x+1)-3(x-3)]=4(x+1)-2(x+3)

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


Simplifying
4(x + -1) + -3[2(2x + 1) + -3(x + -3)] = 4(x + 1) + -2(x + 3)

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

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

Reorder the terms:
-4 + 4x + -3[2 + 4x + -3(-3 + x)] = 4(x + 1) + -2(x + 3)
-4 + 4x + -3[2 + 4x + (-3 * -3 + x * -3)] = 4(x + 1) + -2(x + 3)
-4 + 4x + -3[2 + 4x + (9 + -3x)] = 4(x + 1) + -2(x + 3)

Reorder the terms:
-4 + 4x + -3[2 + 9 + 4x + -3x] = 4(x + 1) + -2(x + 3)

Combine like terms: 2 + 9 = 11
-4 + 4x + -3[11 + 4x + -3x] = 4(x + 1) + -2(x + 3)

Combine like terms: 4x + -3x = 1x
-4 + 4x + -3[11 + 1x] = 4(x + 1) + -2(x + 3)
-4 + 4x + [11 * -3 + 1x * -3] = 4(x + 1) + -2(x + 3)
-4 + 4x + [-33 + -3x] = 4(x + 1) + -2(x + 3)

Reorder the terms:
-4 + -33 + 4x + -3x = 4(x + 1) + -2(x + 3)

Combine like terms: -4 + -33 = -37
-37 + 4x + -3x = 4(x + 1) + -2(x + 3)

Combine like terms: 4x + -3x = 1x
-37 + 1x = 4(x + 1) + -2(x + 3)

Reorder the terms:
-37 + 1x = 4(1 + x) + -2(x + 3)
-37 + 1x = (1 * 4 + x * 4) + -2(x + 3)
-37 + 1x = (4 + 4x) + -2(x + 3)

Reorder the terms:
-37 + 1x = 4 + 4x + -2(3 + x)
-37 + 1x = 4 + 4x + (3 * -2 + x * -2)
-37 + 1x = 4 + 4x + (-6 + -2x)

Reorder the terms:
-37 + 1x = 4 + -6 + 4x + -2x

Combine like terms: 4 + -6 = -2
-37 + 1x = -2 + 4x + -2x

Combine like terms: 4x + -2x = 2x
-37 + 1x = -2 + 2x

Solving
-37 + 1x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-37 + 1x + -2x = -2 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-37 + -1x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-37 + -1x = -2 + 0
-37 + -1x = -2

Add '37' to each side of the equation.
-37 + 37 + -1x = -2 + 37

Combine like terms: -37 + 37 = 0
0 + -1x = -2 + 37
-1x = -2 + 37

Combine like terms: -2 + 37 = 35
-1x = 35

Divide each side by '-1'.
x = -35

Simplifying
x = -35

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