3(x-3)+2x-4=4-(x-3)+8(x+1)

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Solution for 3(x-3)+2x-4=4-(x-3)+8(x+1) equation:


Simplifying
3(x + -3) + 2x + -4 = 4 + -1(x + -3) + 8(x + 1)

Reorder the terms:
3(-3 + x) + 2x + -4 = 4 + -1(x + -3) + 8(x + 1)
(-3 * 3 + x * 3) + 2x + -4 = 4 + -1(x + -3) + 8(x + 1)
(-9 + 3x) + 2x + -4 = 4 + -1(x + -3) + 8(x + 1)

Reorder the terms:
-9 + -4 + 3x + 2x = 4 + -1(x + -3) + 8(x + 1)

Combine like terms: -9 + -4 = -13
-13 + 3x + 2x = 4 + -1(x + -3) + 8(x + 1)

Combine like terms: 3x + 2x = 5x
-13 + 5x = 4 + -1(x + -3) + 8(x + 1)

Reorder the terms:
-13 + 5x = 4 + -1(-3 + x) + 8(x + 1)
-13 + 5x = 4 + (-3 * -1 + x * -1) + 8(x + 1)
-13 + 5x = 4 + (3 + -1x) + 8(x + 1)

Reorder the terms:
-13 + 5x = 4 + 3 + -1x + 8(1 + x)
-13 + 5x = 4 + 3 + -1x + (1 * 8 + x * 8)
-13 + 5x = 4 + 3 + -1x + (8 + 8x)

Reorder the terms:
-13 + 5x = 4 + 3 + 8 + -1x + 8x

Combine like terms: 4 + 3 = 7
-13 + 5x = 7 + 8 + -1x + 8x

Combine like terms: 7 + 8 = 15
-13 + 5x = 15 + -1x + 8x

Combine like terms: -1x + 8x = 7x
-13 + 5x = 15 + 7x

Solving
-13 + 5x = 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.
-13 + 5x + -7x = 15 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-13 + -2x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -2x = 15 + 0
-13 + -2x = 15

Add '13' to each side of the equation.
-13 + 13 + -2x = 15 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 15 + 13
-2x = 15 + 13

Combine like terms: 15 + 13 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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