2(x+2)+4(x-3)=7

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Solution for 2(x+2)+4(x-3)=7 equation: 


Simplifying
2(x + 2) + 4(x + -3) = 7

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

Reorder the terms:
4 + 2x + 4(-3 + x) = 7
4 + 2x + (-3 * 4 + x * 4) = 7
4 + 2x + (-12 + 4x) = 7

Reorder the terms:
4 + -12 + 2x + 4x = 7

Combine like terms: 4 + -12 = -8
-8 + 2x + 4x = 7

Combine like terms: 2x + 4x = 6x
-8 + 6x = 7

Solving
-8 + 6x = 7

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 6x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 7 + 8
6x = 7 + 8

Combine like terms: 7 + 8 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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