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

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Solution for 3(x+1)-2x+3=5x+4(x+10) equation:


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

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

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

Combine like terms: 3 + 3 = 6
6 + 3x + -2x = 5x + 4(x + 10)

Combine like terms: 3x + -2x = 1x
6 + 1x = 5x + 4(x + 10)

Reorder the terms:
6 + 1x = 5x + 4(10 + x)
6 + 1x = 5x + (10 * 4 + x * 4)
6 + 1x = 5x + (40 + 4x)

Reorder the terms:
6 + 1x = 40 + 5x + 4x

Combine like terms: 5x + 4x = 9x
6 + 1x = 40 + 9x

Solving
6 + 1x = 40 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 1x + -9x = 40 + 9x + -9x

Combine like terms: 1x + -9x = -8x
6 + -8x = 40 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -8x = 40 + 0
6 + -8x = 40

Add '-6' to each side of the equation.
6 + -6 + -8x = 40 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 40 + -6
-8x = 40 + -6

Combine like terms: 40 + -6 = 34
-8x = 34

Divide each side by '-8'.
x = -4.25

Simplifying
x = -4.25

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