2(2x+5)-(3x-6)=4

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Solution for 2(2x+5)-(3x-6)=4 equation:


Simplifying
2(2x + 5) + -1(3x + -6) = 4

Reorder the terms:
2(5 + 2x) + -1(3x + -6) = 4
(5 * 2 + 2x * 2) + -1(3x + -6) = 4
(10 + 4x) + -1(3x + -6) = 4

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

Reorder the terms:
10 + 6 + 4x + -3x = 4

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

Combine like terms: 4x + -3x = 1x
16 + 1x = 4

Solving
16 + 1x = 4

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 1x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 4 + -16
1x = 4 + -16

Combine like terms: 4 + -16 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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