4x-4+3x-3+2x-2+x-1=35-12x+3(x-5)

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Solution for 4x-4+3x-3+2x-2+x-1=35-12x+3(x-5) equation:


Simplifying
4x + -4 + 3x + -3 + 2x + -2 + x + -1 = 35 + -12x + 3(x + -5)

Reorder the terms:
-4 + -3 + -2 + -1 + 4x + 3x + 2x + x = 35 + -12x + 3(x + -5)

Combine like terms: -4 + -3 = -7
-7 + -2 + -1 + 4x + 3x + 2x + x = 35 + -12x + 3(x + -5)

Combine like terms: -7 + -2 = -9
-9 + -1 + 4x + 3x + 2x + x = 35 + -12x + 3(x + -5)

Combine like terms: -9 + -1 = -10
-10 + 4x + 3x + 2x + x = 35 + -12x + 3(x + -5)

Combine like terms: 4x + 3x = 7x
-10 + 7x + 2x + x = 35 + -12x + 3(x + -5)

Combine like terms: 7x + 2x = 9x
-10 + 9x + x = 35 + -12x + 3(x + -5)

Combine like terms: 9x + x = 10x
-10 + 10x = 35 + -12x + 3(x + -5)

Reorder the terms:
-10 + 10x = 35 + -12x + 3(-5 + x)
-10 + 10x = 35 + -12x + (-5 * 3 + x * 3)
-10 + 10x = 35 + -12x + (-15 + 3x)

Reorder the terms:
-10 + 10x = 35 + -15 + -12x + 3x

Combine like terms: 35 + -15 = 20
-10 + 10x = 20 + -12x + 3x

Combine like terms: -12x + 3x = -9x
-10 + 10x = 20 + -9x

Solving
-10 + 10x = 20 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-10 + 10x + 9x = 20 + -9x + 9x

Combine like terms: 10x + 9x = 19x
-10 + 19x = 20 + -9x + 9x

Combine like terms: -9x + 9x = 0
-10 + 19x = 20 + 0
-10 + 19x = 20

Add '10' to each side of the equation.
-10 + 10 + 19x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 19x = 20 + 10
19x = 20 + 10

Combine like terms: 20 + 10 = 30
19x = 30

Divide each side by '19'.
x = 1.578947368

Simplifying
x = 1.578947368

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