2(2x+5)=15-3(x+1)

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Solution for 2(2x+5)=15-3(x+1) equation:


Simplifying
2(2x + 5) = 15 + -3(x + 1)

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

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

Combine like terms: 15 + -3 = 12
10 + 4x = 12 + -3x

Solving
10 + 4x = 12 + -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.
10 + 4x + 3x = 12 + -3x + 3x

Combine like terms: 4x + 3x = 7x
10 + 7x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 7x = 12 + 0
10 + 7x = 12

Add '-10' to each side of the equation.
10 + -10 + 7x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 12 + -10
7x = 12 + -10

Combine like terms: 12 + -10 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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