5(2x+3)-4=4(2x+1)+11

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Solution for 5(2x+3)-4=4(2x+1)+11 equation:


Simplifying
5(2x + 3) + -4 = 4(2x + 1) + 11

Reorder the terms:
5(3 + 2x) + -4 = 4(2x + 1) + 11
(3 * 5 + 2x * 5) + -4 = 4(2x + 1) + 11
(15 + 10x) + -4 = 4(2x + 1) + 11

Reorder the terms:
15 + -4 + 10x = 4(2x + 1) + 11

Combine like terms: 15 + -4 = 11
11 + 10x = 4(2x + 1) + 11

Reorder the terms:
11 + 10x = 4(1 + 2x) + 11
11 + 10x = (1 * 4 + 2x * 4) + 11
11 + 10x = (4 + 8x) + 11

Reorder the terms:
11 + 10x = 4 + 11 + 8x

Combine like terms: 4 + 11 = 15
11 + 10x = 15 + 8x

Solving
11 + 10x = 15 + 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.
11 + 10x + -8x = 15 + 8x + -8x

Combine like terms: 10x + -8x = 2x
11 + 2x = 15 + 8x + -8x

Combine like terms: 8x + -8x = 0
11 + 2x = 15 + 0
11 + 2x = 15

Add '-11' to each side of the equation.
11 + -11 + 2x = 15 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 15 + -11
2x = 15 + -11

Combine like terms: 15 + -11 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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