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

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Solution for 1(x+5)-3(x-2)=2(x+3)+4 equation: 


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

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

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

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

Combine like terms: 5 + 6 = 11
11 + 1x + -3x = 2(x + 3) + 4

Combine like terms: 1x + -3x = -2x
11 + -2x = 2(x + 3) + 4

Reorder the terms:
11 + -2x = 2(3 + x) + 4
11 + -2x = (3 * 2 + x * 2) + 4
11 + -2x = (6 + 2x) + 4

Reorder the terms:
11 + -2x = 6 + 4 + 2x

Combine like terms: 6 + 4 = 10
11 + -2x = 10 + 2x

Solving
11 + -2x = 10 + 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.
11 + -2x + -2x = 10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
11 + -4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -4x = 10 + 0
11 + -4x = 10

Add '-11' to each side of the equation.
11 + -11 + -4x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 10 + -11
-4x = 10 + -11

Combine like terms: 10 + -11 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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