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

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


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

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

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

Reorder the terms:
-6 + 5x = 4(-7 + 2x)
-6 + 5x = (-7 * 4 + 2x * 4)
-6 + 5x = (-28 + 8x)

Solving
-6 + 5x = -28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 5x + -8x = -28 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-6 + -3x = -28 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -3x = -28 + 0
-6 + -3x = -28

Add '6' to each side of the equation.
-6 + 6 + -3x = -28 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -28 + 6
-3x = -28 + 6

Combine like terms: -28 + 6 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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