7+3(2x+5)+4=2x-2(3x+8)

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Solution for 7+3(2x+5)+4=2x-2(3x+8) equation:


Simplifying
7 + 3(2x + 5) + 4 = 2x + -2(3x + 8)

Reorder the terms:
7 + 3(5 + 2x) + 4 = 2x + -2(3x + 8)
7 + (5 * 3 + 2x * 3) + 4 = 2x + -2(3x + 8)
7 + (15 + 6x) + 4 = 2x + -2(3x + 8)

Reorder the terms:
7 + 15 + 4 + 6x = 2x + -2(3x + 8)

Combine like terms: 7 + 15 = 22
22 + 4 + 6x = 2x + -2(3x + 8)

Combine like terms: 22 + 4 = 26
26 + 6x = 2x + -2(3x + 8)

Reorder the terms:
26 + 6x = 2x + -2(8 + 3x)
26 + 6x = 2x + (8 * -2 + 3x * -2)
26 + 6x = 2x + (-16 + -6x)

Reorder the terms:
26 + 6x = -16 + 2x + -6x

Combine like terms: 2x + -6x = -4x
26 + 6x = -16 + -4x

Solving
26 + 6x = -16 + -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.
26 + 6x + 4x = -16 + -4x + 4x

Combine like terms: 6x + 4x = 10x
26 + 10x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
26 + 10x = -16 + 0
26 + 10x = -16

Add '-26' to each side of the equation.
26 + -26 + 10x = -16 + -26

Combine like terms: 26 + -26 = 0
0 + 10x = -16 + -26
10x = -16 + -26

Combine like terms: -16 + -26 = -42
10x = -42

Divide each side by '10'.
x = -4.2

Simplifying
x = -4.2

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