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

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


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

Reorder the terms:
2(1 + 5x) + -3(3 + -2x) = 2x + 7
(1 * 2 + 5x * 2) + -3(3 + -2x) = 2x + 7
(2 + 10x) + -3(3 + -2x) = 2x + 7
2 + 10x + (3 * -3 + -2x * -3) = 2x + 7
2 + 10x + (-9 + 6x) = 2x + 7

Reorder the terms:
2 + -9 + 10x + 6x = 2x + 7

Combine like terms: 2 + -9 = -7
-7 + 10x + 6x = 2x + 7

Combine like terms: 10x + 6x = 16x
-7 + 16x = 2x + 7

Reorder the terms:
-7 + 16x = 7 + 2x

Solving
-7 + 16x = 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.
-7 + 16x + -2x = 7 + 2x + -2x

Combine like terms: 16x + -2x = 14x
-7 + 14x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 14x = 7 + 0
-7 + 14x = 7

Add '7' to each side of the equation.
-7 + 7 + 14x = 7 + 7

Combine like terms: -7 + 7 = 0
0 + 14x = 7 + 7
14x = 7 + 7

Combine like terms: 7 + 7 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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