1+2x=6(x+1)-5(x-4)

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Solution for 1+2x=6(x+1)-5(x-4) equation:


Simplifying
1 + 2x = 6(x + 1) + -5(x + -4)

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

Reorder the terms:
1 + 2x = 6 + 6x + -5(-4 + x)
1 + 2x = 6 + 6x + (-4 * -5 + x * -5)
1 + 2x = 6 + 6x + (20 + -5x)

Reorder the terms:
1 + 2x = 6 + 20 + 6x + -5x

Combine like terms: 6 + 20 = 26
1 + 2x = 26 + 6x + -5x

Combine like terms: 6x + -5x = 1x
1 + 2x = 26 + 1x

Solving
1 + 2x = 26 + 1x

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 + 2x + -1x = 26 + 1x + -1x

Combine like terms: 2x + -1x = 1x
1 + 1x = 26 + 1x + -1x

Combine like terms: 1x + -1x = 0
1 + 1x = 26 + 0
1 + 1x = 26

Add '-1' to each side of the equation.
1 + -1 + 1x = 26 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 26 + -1
1x = 26 + -1

Combine like terms: 26 + -1 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25

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