7x-4x+2(2x+4)=3(2x+1)-2x+26

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Solution for 7x-4x+2(2x+4)=3(2x+1)-2x+26 equation:


Simplifying
7x + -4x + 2(2x + 4) = 3(2x + 1) + -2x + 26

Reorder the terms:
7x + -4x + 2(4 + 2x) = 3(2x + 1) + -2x + 26
7x + -4x + (4 * 2 + 2x * 2) = 3(2x + 1) + -2x + 26
7x + -4x + (8 + 4x) = 3(2x + 1) + -2x + 26

Reorder the terms:
8 + 7x + -4x + 4x = 3(2x + 1) + -2x + 26

Combine like terms: 7x + -4x = 3x
8 + 3x + 4x = 3(2x + 1) + -2x + 26

Combine like terms: 3x + 4x = 7x
8 + 7x = 3(2x + 1) + -2x + 26

Reorder the terms:
8 + 7x = 3(1 + 2x) + -2x + 26
8 + 7x = (1 * 3 + 2x * 3) + -2x + 26
8 + 7x = (3 + 6x) + -2x + 26

Reorder the terms:
8 + 7x = 3 + 26 + 6x + -2x

Combine like terms: 3 + 26 = 29
8 + 7x = 29 + 6x + -2x

Combine like terms: 6x + -2x = 4x
8 + 7x = 29 + 4x

Solving
8 + 7x = 29 + 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.
8 + 7x + -4x = 29 + 4x + -4x

Combine like terms: 7x + -4x = 3x
8 + 3x = 29 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 3x = 29 + 0
8 + 3x = 29

Add '-8' to each side of the equation.
8 + -8 + 3x = 29 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 29 + -8
3x = 29 + -8

Combine like terms: 29 + -8 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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