2(x+3)-x+4=2(x-10)+5

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Solution for 2(x+3)-x+4=2(x-10)+5 equation:


Simplifying
2(x + 3) + -1x + 4 = 2(x + -10) + 5

Reorder the terms:
2(3 + x) + -1x + 4 = 2(x + -10) + 5
(3 * 2 + x * 2) + -1x + 4 = 2(x + -10) + 5
(6 + 2x) + -1x + 4 = 2(x + -10) + 5

Reorder the terms:
6 + 4 + 2x + -1x = 2(x + -10) + 5

Combine like terms: 6 + 4 = 10
10 + 2x + -1x = 2(x + -10) + 5

Combine like terms: 2x + -1x = 1x
10 + 1x = 2(x + -10) + 5

Reorder the terms:
10 + 1x = 2(-10 + x) + 5
10 + 1x = (-10 * 2 + x * 2) + 5
10 + 1x = (-20 + 2x) + 5

Reorder the terms:
10 + 1x = -20 + 5 + 2x

Combine like terms: -20 + 5 = -15
10 + 1x = -15 + 2x

Solving
10 + 1x = -15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 1x + -2x = -15 + 2x + -2x

Combine like terms: 1x + -2x = -1x
10 + -1x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -1x = -15 + 0
10 + -1x = -15

Add '-10' to each side of the equation.
10 + -10 + -1x = -15 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -15 + -10
-1x = -15 + -10

Combine like terms: -15 + -10 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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