7-3(2x-5)=3x+10

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Solution for 7-3(2x-5)=3x+10 equation:


Simplifying
7 + -3(2x + -5) = 3x + 10

Reorder the terms:
7 + -3(-5 + 2x) = 3x + 10
7 + (-5 * -3 + 2x * -3) = 3x + 10
7 + (15 + -6x) = 3x + 10

Combine like terms: 7 + 15 = 22
22 + -6x = 3x + 10

Reorder the terms:
22 + -6x = 10 + 3x

Solving
22 + -6x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + -6x + -3x = 10 + 3x + -3x

Combine like terms: -6x + -3x = -9x
22 + -9x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -9x = 10 + 0
22 + -9x = 10

Add '-22' to each side of the equation.
22 + -22 + -9x = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = 10 + -22
-9x = 10 + -22

Combine like terms: 10 + -22 = -12
-9x = -12

Divide each side by '-9'.
x = 1.333333333

Simplifying
x = 1.333333333

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