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

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


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

Combine like terms: 2x + -1x = 1x
3(1x) = 5(2x + -7) + 2

Remove parenthesis around (1x)
3 * 1x = 5(2x + -7) + 2

Multiply 3 * 1
3x = 5(2x + -7) + 2

Reorder the terms:
3x = 5(-7 + 2x) + 2
3x = (-7 * 5 + 2x * 5) + 2
3x = (-35 + 10x) + 2

Reorder the terms:
3x = -35 + 2 + 10x

Combine like terms: -35 + 2 = -33
3x = -33 + 10x

Solving
3x = -33 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3x + -10x = -33 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-7x = -33 + 10x + -10x

Combine like terms: 10x + -10x = 0
-7x = -33 + 0
-7x = -33

Divide each side by '-7'.
x = 4.714285714

Simplifying
x = 4.714285714

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