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

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


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

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

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

Combine like terms: -3x + 2x = -1x
10 + -5x = 6 + -1x

Solving
10 + -5x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + -5x + x = 6 + -1x + x

Combine like terms: -5x + x = -4x
10 + -4x = 6 + -1x + x

Combine like terms: -1x + x = 0
10 + -4x = 6 + 0
10 + -4x = 6

Add '-10' to each side of the equation.
10 + -10 + -4x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 6 + -10
-4x = 6 + -10

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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