4[5-(2x+3)]+10x=5(7-x)+2x

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Solution for 4[5-(2x+3)]+10x=5(7-x)+2x equation:


Simplifying
4[5 + -1(2x + 3)] + 10x = 5(7 + -1x) + 2x

Reorder the terms:
4[5 + -1(3 + 2x)] + 10x = 5(7 + -1x) + 2x
4[5 + (3 * -1 + 2x * -1)] + 10x = 5(7 + -1x) + 2x
4[5 + (-3 + -2x)] + 10x = 5(7 + -1x) + 2x

Combine like terms: 5 + -3 = 2
4[2 + -2x] + 10x = 5(7 + -1x) + 2x
[2 * 4 + -2x * 4] + 10x = 5(7 + -1x) + 2x
[8 + -8x] + 10x = 5(7 + -1x) + 2x

Combine like terms: -8x + 10x = 2x
8 + 2x = 5(7 + -1x) + 2x
8 + 2x = (7 * 5 + -1x * 5) + 2x
8 + 2x = (35 + -5x) + 2x

Combine like terms: -5x + 2x = -3x
8 + 2x = 35 + -3x

Solving
8 + 2x = 35 + -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.
8 + 2x + 3x = 35 + -3x + 3x

Combine like terms: 2x + 3x = 5x
8 + 5x = 35 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 5x = 35 + 0
8 + 5x = 35

Add '-8' to each side of the equation.
8 + -8 + 5x = 35 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 35 + -8
5x = 35 + -8

Combine like terms: 35 + -8 = 27
5x = 27

Divide each side by '5'.
x = 5.4

Simplifying
x = 5.4

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