5(x+2)-3=3x-8x+10-4x

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Solution for 5(x+2)-3=3x-8x+10-4x equation:


Simplifying
5(x + 2) + -3 = 3x + -8x + 10 + -4x

Reorder the terms:
5(2 + x) + -3 = 3x + -8x + 10 + -4x
(2 * 5 + x * 5) + -3 = 3x + -8x + 10 + -4x
(10 + 5x) + -3 = 3x + -8x + 10 + -4x

Reorder the terms:
10 + -3 + 5x = 3x + -8x + 10 + -4x

Combine like terms: 10 + -3 = 7
7 + 5x = 3x + -8x + 10 + -4x

Reorder the terms:
7 + 5x = 10 + 3x + -8x + -4x

Combine like terms: 3x + -8x = -5x
7 + 5x = 10 + -5x + -4x

Combine like terms: -5x + -4x = -9x
7 + 5x = 10 + -9x

Solving
7 + 5x = 10 + -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.
7 + 5x + 9x = 10 + -9x + 9x

Combine like terms: 5x + 9x = 14x
7 + 14x = 10 + -9x + 9x

Combine like terms: -9x + 9x = 0
7 + 14x = 10 + 0
7 + 14x = 10

Add '-7' to each side of the equation.
7 + -7 + 14x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 14x = 10 + -7
14x = 10 + -7

Combine like terms: 10 + -7 = 3
14x = 3

Divide each side by '14'.
x = 0.2142857143

Simplifying
x = 0.2142857143

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