10+2(2x+3)=7x-3(2-x)

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Solution for 10+2(2x+3)=7x-3(2-x) equation:


Simplifying
10 + 2(2x + 3) = 7x + -3(2 + -1x)

Reorder the terms:
10 + 2(3 + 2x) = 7x + -3(2 + -1x)
10 + (3 * 2 + 2x * 2) = 7x + -3(2 + -1x)
10 + (6 + 4x) = 7x + -3(2 + -1x)

Combine like terms: 10 + 6 = 16
16 + 4x = 7x + -3(2 + -1x)
16 + 4x = 7x + (2 * -3 + -1x * -3)
16 + 4x = 7x + (-6 + 3x)

Reorder the terms:
16 + 4x = -6 + 7x + 3x

Combine like terms: 7x + 3x = 10x
16 + 4x = -6 + 10x

Solving
16 + 4x = -6 + 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.
16 + 4x + -10x = -6 + 10x + -10x

Combine like terms: 4x + -10x = -6x
16 + -6x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + -6x = -6 + 0
16 + -6x = -6

Add '-16' to each side of the equation.
16 + -16 + -6x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -6 + -16
-6x = -6 + -16

Combine like terms: -6 + -16 = -22
-6x = -22

Divide each side by '-6'.
x = 3.666666667

Simplifying
x = 3.666666667

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