4(2x+3)+2(x+5)=7

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


Simplifying
4(2x + 3) + 2(x + 5) = 7

Reorder the terms:
4(3 + 2x) + 2(x + 5) = 7
(3 * 4 + 2x * 4) + 2(x + 5) = 7
(12 + 8x) + 2(x + 5) = 7

Reorder the terms:
12 + 8x + 2(5 + x) = 7
12 + 8x + (5 * 2 + x * 2) = 7
12 + 8x + (10 + 2x) = 7

Reorder the terms:
12 + 10 + 8x + 2x = 7

Combine like terms: 12 + 10 = 22
22 + 8x + 2x = 7

Combine like terms: 8x + 2x = 10x
22 + 10x = 7

Solving
22 + 10x = 7

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 10x = 7 + -22

Combine like terms: 22 + -22 = 0
0 + 10x = 7 + -22
10x = 7 + -22

Combine like terms: 7 + -22 = -15
10x = -15

Divide each side by '10'.
x = -1.5

Simplifying
x = -1.5

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