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

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


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

Reorder the terms:
4(-2 + x) + 2x = -5 + 3(3x + -7)
(-2 * 4 + x * 4) + 2x = -5 + 3(3x + -7)
(-8 + 4x) + 2x = -5 + 3(3x + -7)

Combine like terms: 4x + 2x = 6x
-8 + 6x = -5 + 3(3x + -7)

Reorder the terms:
-8 + 6x = -5 + 3(-7 + 3x)
-8 + 6x = -5 + (-7 * 3 + 3x * 3)
-8 + 6x = -5 + (-21 + 9x)

Combine like terms: -5 + -21 = -26
-8 + 6x = -26 + 9x

Solving
-8 + 6x = -26 + 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.
-8 + 6x + -9x = -26 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-8 + -3x = -26 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -3x = -26 + 0
-8 + -3x = -26

Add '8' to each side of the equation.
-8 + 8 + -3x = -26 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = -26 + 8
-3x = -26 + 8

Combine like terms: -26 + 8 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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