4(2x+5)+x-7=2(x+10)+2x+25-17

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Solution for 4(2x+5)+x-7=2(x+10)+2x+25-17 equation:


Simplifying
4(2x + 5) + x + -7 = 2(x + 10) + 2x + 25 + -17

Reorder the terms:
4(5 + 2x) + x + -7 = 2(x + 10) + 2x + 25 + -17
(5 * 4 + 2x * 4) + x + -7 = 2(x + 10) + 2x + 25 + -17
(20 + 8x) + x + -7 = 2(x + 10) + 2x + 25 + -17

Reorder the terms:
20 + -7 + 8x + x = 2(x + 10) + 2x + 25 + -17

Combine like terms: 20 + -7 = 13
13 + 8x + x = 2(x + 10) + 2x + 25 + -17

Combine like terms: 8x + x = 9x
13 + 9x = 2(x + 10) + 2x + 25 + -17

Reorder the terms:
13 + 9x = 2(10 + x) + 2x + 25 + -17
13 + 9x = (10 * 2 + x * 2) + 2x + 25 + -17
13 + 9x = (20 + 2x) + 2x + 25 + -17

Reorder the terms:
13 + 9x = 20 + 25 + -17 + 2x + 2x

Combine like terms: 20 + 25 = 45
13 + 9x = 45 + -17 + 2x + 2x

Combine like terms: 45 + -17 = 28
13 + 9x = 28 + 2x + 2x

Combine like terms: 2x + 2x = 4x
13 + 9x = 28 + 4x

Solving
13 + 9x = 28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + 9x + -4x = 28 + 4x + -4x

Combine like terms: 9x + -4x = 5x
13 + 5x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + 5x = 28 + 0
13 + 5x = 28

Add '-13' to each side of the equation.
13 + -13 + 5x = 28 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 28 + -13
5x = 28 + -13

Combine like terms: 28 + -13 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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