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

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


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

Reorder the terms:
7(2 + x) + -4 = 2(2x + 3)
(2 * 7 + x * 7) + -4 = 2(2x + 3)
(14 + 7x) + -4 = 2(2x + 3)

Reorder the terms:
14 + -4 + 7x = 2(2x + 3)

Combine like terms: 14 + -4 = 10
10 + 7x = 2(2x + 3)

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

Solving
10 + 7x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 7x + -4x = 6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
10 + 3x = 6 + 0
10 + 3x = 6

Add '-10' to each side of the equation.
10 + -10 + 3x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 6 + -10
3x = 6 + -10

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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