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

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


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

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

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

Reorder the terms:
4 + 5x = -3 + -2 + 7 + 6x

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

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

Solving
4 + 5x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 5x + -6x = 2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
4 + -1x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -1x = 2 + 0
4 + -1x = 2

Add '-4' to each side of the equation.
4 + -4 + -1x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 2 + -4
-1x = 2 + -4

Combine like terms: 2 + -4 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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