3(2x-7)+2(2-5x)+4x+1=x

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Solution for 3(2x-7)+2(2-5x)+4x+1=x equation: 


Simplifying
3(2x + -7) + 2(2 + -5x) + 4x + 1 = x

Reorder the terms:
3(-7 + 2x) + 2(2 + -5x) + 4x + 1 = x
(-7 * 3 + 2x * 3) + 2(2 + -5x) + 4x + 1 = x
(-21 + 6x) + 2(2 + -5x) + 4x + 1 = x
-21 + 6x + (2 * 2 + -5x * 2) + 4x + 1 = x
-21 + 6x + (4 + -10x) + 4x + 1 = x

Reorder the terms:
-21 + 4 + 1 + 6x + -10x + 4x = x

Combine like terms: -21 + 4 = -17
-17 + 1 + 6x + -10x + 4x = x

Combine like terms: -17 + 1 = -16
-16 + 6x + -10x + 4x = x

Combine like terms: 6x + -10x = -4x
-16 + -4x + 4x = x

Combine like terms: -4x + 4x = 0
-16 + 0 = x
-16 = x

Solving
-16 = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + -1x = x + -1x

Combine like terms: x + -1x = 0
-16 + -1x = 0

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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