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

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


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

Reorder the terms:
3(-3 + x) + 2(5 + -1x) = x + 4
(-3 * 3 + x * 3) + 2(5 + -1x) = x + 4
(-9 + 3x) + 2(5 + -1x) = x + 4
-9 + 3x + (5 * 2 + -1x * 2) = x + 4
-9 + 3x + (10 + -2x) = x + 4

Reorder the terms:
-9 + 10 + 3x + -2x = x + 4

Combine like terms: -9 + 10 = 1
1 + 3x + -2x = x + 4

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

Reorder the terms:
1 + 1x = 4 + x

Solving
1 + 1x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 1x + -1x = 4 + x + -1x

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

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

Add '-1' to each side of the equation.
1 + -1 = 4 + -1

Combine like terms: 1 + -1 = 0
0 = 4 + -1

Combine like terms: 4 + -1 = 3
0 = 3

Simplifying
0 = 3

Combine like terms: 0 + -3 = -3
-3 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 = 0

The solution to this equation could not be determined.

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