5(2x+3)-6(x+2)=2x+7

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Solution for 5(2x+3)-6(x+2)=2x+7 equation:


Simplifying
5(2x + 3) + -6(x + 2) = 2x + 7

Reorder the terms:
5(3 + 2x) + -6(x + 2) = 2x + 7
(3 * 5 + 2x * 5) + -6(x + 2) = 2x + 7
(15 + 10x) + -6(x + 2) = 2x + 7

Reorder the terms:
15 + 10x + -6(2 + x) = 2x + 7
15 + 10x + (2 * -6 + x * -6) = 2x + 7
15 + 10x + (-12 + -6x) = 2x + 7

Reorder the terms:
15 + -12 + 10x + -6x = 2x + 7

Combine like terms: 15 + -12 = 3
3 + 10x + -6x = 2x + 7

Combine like terms: 10x + -6x = 4x
3 + 4x = 2x + 7

Reorder the terms:
3 + 4x = 7 + 2x

Solving
3 + 4x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 4x + -2x = 7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
3 + 2x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 2x = 7 + 0
3 + 2x = 7

Add '-3' to each side of the equation.
3 + -3 + 2x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 7 + -3
2x = 7 + -3

Combine like terms: 7 + -3 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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