6x-3x+26=5(x+3)+2

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Solution for 6x-3x+26=5(x+3)+2 equation:


Simplifying
6x + -3x + 26 = 5(x + 3) + 2

Reorder the terms:
26 + 6x + -3x = 5(x + 3) + 2

Combine like terms: 6x + -3x = 3x
26 + 3x = 5(x + 3) + 2

Reorder the terms:
26 + 3x = 5(3 + x) + 2
26 + 3x = (3 * 5 + x * 5) + 2
26 + 3x = (15 + 5x) + 2

Reorder the terms:
26 + 3x = 15 + 2 + 5x

Combine like terms: 15 + 2 = 17
26 + 3x = 17 + 5x

Solving
26 + 3x = 17 + 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.
26 + 3x + -5x = 17 + 5x + -5x

Combine like terms: 3x + -5x = -2x
26 + -2x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
26 + -2x = 17 + 0
26 + -2x = 17

Add '-26' to each side of the equation.
26 + -26 + -2x = 17 + -26

Combine like terms: 26 + -26 = 0
0 + -2x = 17 + -26
-2x = 17 + -26

Combine like terms: 17 + -26 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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