3(2x-7)-2(4x+1)=2(7-2x)+3(x-10)

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Solution for 3(2x-7)-2(4x+1)=2(7-2x)+3(x-10) equation: 


Simplifying
3(2x + -7) + -2(4x + 1) = 2(7 + -2x) + 3(x + -10)

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

Reorder the terms:
-21 + 6x + -2(1 + 4x) = 2(7 + -2x) + 3(x + -10)
-21 + 6x + (1 * -2 + 4x * -2) = 2(7 + -2x) + 3(x + -10)
-21 + 6x + (-2 + -8x) = 2(7 + -2x) + 3(x + -10)

Reorder the terms:
-21 + -2 + 6x + -8x = 2(7 + -2x) + 3(x + -10)

Combine like terms: -21 + -2 = -23
-23 + 6x + -8x = 2(7 + -2x) + 3(x + -10)

Combine like terms: 6x + -8x = -2x
-23 + -2x = 2(7 + -2x) + 3(x + -10)
-23 + -2x = (7 * 2 + -2x * 2) + 3(x + -10)
-23 + -2x = (14 + -4x) + 3(x + -10)

Reorder the terms:
-23 + -2x = 14 + -4x + 3(-10 + x)
-23 + -2x = 14 + -4x + (-10 * 3 + x * 3)
-23 + -2x = 14 + -4x + (-30 + 3x)

Reorder the terms:
-23 + -2x = 14 + -30 + -4x + 3x

Combine like terms: 14 + -30 = -16
-23 + -2x = -16 + -4x + 3x

Combine like terms: -4x + 3x = -1x
-23 + -2x = -16 + -1x

Solving
-23 + -2x = -16 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-23 + -2x + x = -16 + -1x + x

Combine like terms: -2x + x = -1x
-23 + -1x = -16 + -1x + x

Combine like terms: -1x + x = 0
-23 + -1x = -16 + 0
-23 + -1x = -16

Add '23' to each side of the equation.
-23 + 23 + -1x = -16 + 23

Combine like terms: -23 + 23 = 0
0 + -1x = -16 + 23
-1x = -16 + 23

Combine like terms: -16 + 23 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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