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

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Solution for 4x-5+10=5x+2(4-x)+1 equation:


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

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

Combine like terms: -5 + 10 = 5
5 + 4x = 5x + 2(4 + -1x) + 1
5 + 4x = 5x + (4 * 2 + -1x * 2) + 1
5 + 4x = 5x + (8 + -2x) + 1

Reorder the terms:
5 + 4x = 8 + 1 + 5x + -2x

Combine like terms: 8 + 1 = 9
5 + 4x = 9 + 5x + -2x

Combine like terms: 5x + -2x = 3x
5 + 4x = 9 + 3x

Solving
5 + 4x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + 4x + -3x = 9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
5 + 1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 1x = 9 + 0
5 + 1x = 9

Add '-5' to each side of the equation.
5 + -5 + 1x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 9 + -5
1x = 9 + -5

Combine like terms: 9 + -5 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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