4(2x+1)-7=26-3(-2x-5)

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Solution for 4(2x+1)-7=26-3(-2x-5) equation:


Simplifying
4(2x + 1) + -7 = 26 + -3(-2x + -5)

Reorder the terms:
4(1 + 2x) + -7 = 26 + -3(-2x + -5)
(1 * 4 + 2x * 4) + -7 = 26 + -3(-2x + -5)
(4 + 8x) + -7 = 26 + -3(-2x + -5)

Reorder the terms:
4 + -7 + 8x = 26 + -3(-2x + -5)

Combine like terms: 4 + -7 = -3
-3 + 8x = 26 + -3(-2x + -5)

Reorder the terms:
-3 + 8x = 26 + -3(-5 + -2x)
-3 + 8x = 26 + (-5 * -3 + -2x * -3)
-3 + 8x = 26 + (15 + 6x)

Combine like terms: 26 + 15 = 41
-3 + 8x = 41 + 6x

Solving
-3 + 8x = 41 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 8x + -6x = 41 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-3 + 2x = 41 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 2x = 41 + 0
-3 + 2x = 41

Add '3' to each side of the equation.
-3 + 3 + 2x = 41 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 41 + 3
2x = 41 + 3

Combine like terms: 41 + 3 = 44
2x = 44

Divide each side by '2'.
x = 22

Simplifying
x = 22

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