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

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


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

Reorder the terms:
2(-7 + x) + 3 = 5 + -1(x + -2)
(-7 * 2 + x * 2) + 3 = 5 + -1(x + -2)
(-14 + 2x) + 3 = 5 + -1(x + -2)

Reorder the terms:
-14 + 3 + 2x = 5 + -1(x + -2)

Combine like terms: -14 + 3 = -11
-11 + 2x = 5 + -1(x + -2)

Reorder the terms:
-11 + 2x = 5 + -1(-2 + x)
-11 + 2x = 5 + (-2 * -1 + x * -1)
-11 + 2x = 5 + (2 + -1x)

Combine like terms: 5 + 2 = 7
-11 + 2x = 7 + -1x

Solving
-11 + 2x = 7 + -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.
-11 + 2x + x = 7 + -1x + x

Combine like terms: 2x + x = 3x
-11 + 3x = 7 + -1x + x

Combine like terms: -1x + x = 0
-11 + 3x = 7 + 0
-11 + 3x = 7

Add '11' to each side of the equation.
-11 + 11 + 3x = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 7 + 11
3x = 7 + 11

Combine like terms: 7 + 11 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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