7+2(3x-5)=7-5(2x+1)

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Solution for 7+2(3x-5)=7-5(2x+1) equation:


Simplifying
7 + 2(3x + -5) = 7 + -5(2x + 1)

Reorder the terms:
7 + 2(-5 + 3x) = 7 + -5(2x + 1)
7 + (-5 * 2 + 3x * 2) = 7 + -5(2x + 1)
7 + (-10 + 6x) = 7 + -5(2x + 1)

Combine like terms: 7 + -10 = -3
-3 + 6x = 7 + -5(2x + 1)

Reorder the terms:
-3 + 6x = 7 + -5(1 + 2x)
-3 + 6x = 7 + (1 * -5 + 2x * -5)
-3 + 6x = 7 + (-5 + -10x)

Combine like terms: 7 + -5 = 2
-3 + 6x = 2 + -10x

Solving
-3 + 6x = 2 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-3 + 6x + 10x = 2 + -10x + 10x

Combine like terms: 6x + 10x = 16x
-3 + 16x = 2 + -10x + 10x

Combine like terms: -10x + 10x = 0
-3 + 16x = 2 + 0
-3 + 16x = 2

Add '3' to each side of the equation.
-3 + 3 + 16x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 16x = 2 + 3
16x = 2 + 3

Combine like terms: 2 + 3 = 5
16x = 5

Divide each side by '16'.
x = 0.3125

Simplifying
x = 0.3125

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