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

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


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

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

Reorder the terms:
35 + 3x + -5x = 10x + 2

Combine like terms: 3x + -5x = -2x
35 + -2x = 10x + 2

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

Solving
35 + -2x = 2 + 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.
35 + -2x + -10x = 2 + 10x + -10x

Combine like terms: -2x + -10x = -12x
35 + -12x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
35 + -12x = 2 + 0
35 + -12x = 2

Add '-35' to each side of the equation.
35 + -35 + -12x = 2 + -35

Combine like terms: 35 + -35 = 0
0 + -12x = 2 + -35
-12x = 2 + -35

Combine like terms: 2 + -35 = -33
-12x = -33

Divide each side by '-12'.
x = 2.75

Simplifying
x = 2.75

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