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

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


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

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

Remove parenthesis around (1 + 2x)
[1 + 2x + -5(x + -4)] + 4 = 10(x + 3)

Reorder the terms:
[1 + 2x + -5(-4 + x)] + 4 = 10(x + 3)
[1 + 2x + (-4 * -5 + x * -5)] + 4 = 10(x + 3)
[1 + 2x + (20 + -5x)] + 4 = 10(x + 3)

Reorder the terms:
[1 + 20 + 2x + -5x] + 4 = 10(x + 3)

Combine like terms: 1 + 20 = 21
[21 + 2x + -5x] + 4 = 10(x + 3)

Combine like terms: 2x + -5x = -3x
[21 + -3x] + 4 = 10(x + 3)

Remove brackets around [21 + -3x]
21 + -3x + 4 = 10(x + 3)

Reorder the terms:
21 + 4 + -3x = 10(x + 3)

Combine like terms: 21 + 4 = 25
25 + -3x = 10(x + 3)

Reorder the terms:
25 + -3x = 10(3 + x)
25 + -3x = (3 * 10 + x * 10)
25 + -3x = (30 + 10x)

Solving
25 + -3x = 30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
25 + -3x + -10x = 30 + 10x + -10x

Combine like terms: -3x + -10x = -13x
25 + -13x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
25 + -13x = 30 + 0
25 + -13x = 30

Add '-25' to each side of the equation.
25 + -25 + -13x = 30 + -25

Combine like terms: 25 + -25 = 0
0 + -13x = 30 + -25
-13x = 30 + -25

Combine like terms: 30 + -25 = 5
-13x = 5

Divide each side by '-13'.
x = -0.3846153846

Simplifying
x = -0.3846153846

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