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

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


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

Reorder the terms:
2(5 + x) + -7x = 3(2 + -1x)
(5 * 2 + x * 2) + -7x = 3(2 + -1x)
(10 + 2x) + -7x = 3(2 + -1x)

Combine like terms: 2x + -7x = -5x
10 + -5x = 3(2 + -1x)
10 + -5x = (2 * 3 + -1x * 3)
10 + -5x = (6 + -3x)

Solving
10 + -5x = 6 + -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.
10 + -5x + 3x = 6 + -3x + 3x

Combine like terms: -5x + 3x = -2x
10 + -2x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -2x = 6 + 0
10 + -2x = 6

Add '-10' to each side of the equation.
10 + -10 + -2x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 6 + -10
-2x = 6 + -10

Combine like terms: 6 + -10 = -4
-2x = -4

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

Simplifying
x = 2

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