3+2(2x-1)+6=5(x-3)

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Solution for 3+2(2x-1)+6=5(x-3) equation:


Simplifying
3 + 2(2x + -1) + 6 = 5(x + -3)

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

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

Combine like terms: 3 + -2 = 1
1 + 6 + 4x = 5(x + -3)

Combine like terms: 1 + 6 = 7
7 + 4x = 5(x + -3)

Reorder the terms:
7 + 4x = 5(-3 + x)
7 + 4x = (-3 * 5 + x * 5)
7 + 4x = (-15 + 5x)

Solving
7 + 4x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7 + 4x + -5x = -15 + 5x + -5x

Combine like terms: 4x + -5x = -1x
7 + -1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -1x = -15 + 0
7 + -1x = -15

Add '-7' to each side of the equation.
7 + -7 + -1x = -15 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -15 + -7
-1x = -15 + -7

Combine like terms: -15 + -7 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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