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

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


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

Reorder the terms:
7 = 5x + 3(-2 + x) + 5
7 = 5x + (-2 * 3 + x * 3) + 5
7 = 5x + (-6 + 3x) + 5

Reorder the terms:
7 = -6 + 5 + 5x + 3x

Combine like terms: -6 + 5 = -1
7 = -1 + 5x + 3x

Combine like terms: 5x + 3x = 8x
7 = -1 + 8x

Solving
7 = -1 + 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.
7 + -8x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -8x = -1 + 0
7 + -8x = -1

Add '-7' to each side of the equation.
7 + -7 + -8x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -1 + -7
-8x = -1 + -7

Combine like terms: -1 + -7 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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