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

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


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

Reorder the terms:
4(3 + 2x) = 26 + -3(x + 1)
(3 * 4 + 2x * 4) = 26 + -3(x + 1)
(12 + 8x) = 26 + -3(x + 1)

Reorder the terms:
12 + 8x = 26 + -3(1 + x)
12 + 8x = 26 + (1 * -3 + x * -3)
12 + 8x = 26 + (-3 + -3x)

Combine like terms: 26 + -3 = 23
12 + 8x = 23 + -3x

Solving
12 + 8x = 23 + -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.
12 + 8x + 3x = 23 + -3x + 3x

Combine like terms: 8x + 3x = 11x
12 + 11x = 23 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 11x = 23 + 0
12 + 11x = 23

Add '-12' to each side of the equation.
12 + -12 + 11x = 23 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = 23 + -12
11x = 23 + -12

Combine like terms: 23 + -12 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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