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

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


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

Reorder the terms:
4(7 + x) + 5 = 2(x + -5) + 3
(7 * 4 + x * 4) + 5 = 2(x + -5) + 3
(28 + 4x) + 5 = 2(x + -5) + 3

Reorder the terms:
28 + 5 + 4x = 2(x + -5) + 3

Combine like terms: 28 + 5 = 33
33 + 4x = 2(x + -5) + 3

Reorder the terms:
33 + 4x = 2(-5 + x) + 3
33 + 4x = (-5 * 2 + x * 2) + 3
33 + 4x = (-10 + 2x) + 3

Reorder the terms:
33 + 4x = -10 + 3 + 2x

Combine like terms: -10 + 3 = -7
33 + 4x = -7 + 2x

Solving
33 + 4x = -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.
33 + 4x + -2x = -7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
33 + 2x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
33 + 2x = -7 + 0
33 + 2x = -7

Add '-33' to each side of the equation.
33 + -33 + 2x = -7 + -33

Combine like terms: 33 + -33 = 0
0 + 2x = -7 + -33
2x = -7 + -33

Combine like terms: -7 + -33 = -40
2x = -40

Divide each side by '2'.
x = -20

Simplifying
x = -20

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