7x-3+2x+8=4(2x+7)

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Solution for 7x-3+2x+8=4(2x+7) equation:


Simplifying
7x + -3 + 2x + 8 = 4(2x + 7)

Reorder the terms:
-3 + 8 + 7x + 2x = 4(2x + 7)

Combine like terms: -3 + 8 = 5
5 + 7x + 2x = 4(2x + 7)

Combine like terms: 7x + 2x = 9x
5 + 9x = 4(2x + 7)

Reorder the terms:
5 + 9x = 4(7 + 2x)
5 + 9x = (7 * 4 + 2x * 4)
5 + 9x = (28 + 8x)

Solving
5 + 9x = 28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5 + 9x + -8x = 28 + 8x + -8x

Combine like terms: 9x + -8x = 1x
5 + 1x = 28 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + 1x = 28 + 0
5 + 1x = 28

Add '-5' to each side of the equation.
5 + -5 + 1x = 28 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 28 + -5
1x = 28 + -5

Combine like terms: 28 + -5 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23

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